Provided that the roots of a quadratic equation, 12x^2 - 24x -65 = 115 are a and b respectively.    Find a^2+b^2

Q: If 4x -100 = 0, the roots of the equation are (1) -25 and 25 (2) -25,only (3) -5 and 5 (4) -5 only…

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Q: Find the roots of the equations 4x° + 77x' – 12x° + 7x° – 3x* – 42.x – 5x² +12x – 3 - - - -

A: 4x8+77x7-12x6+7x5-3x4-42x3-5x2+12x-3To Find: Roots of the equation.

Q: Find the quadratic equation if the roots are 3 and - 4.

A: Quadratic equation with roots a and b is x2-(sum of the roots)x + product of the roots =0…

Q: State nature of root of 2x2-4x+3=0

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Q: 1- - 3 - 2x az az Solve 2-

A: NOTE:We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Construct an equation whose roots are the reciprocal of the roots of 2x +4x -10x-5=0

A: Consider a cubic equation ax3+bx2+cx+d=0 where a≠0 and assuming α,β and γ are roots of equation then…

Q: My neighbor and I like to kick a soccer ball back and forth to each other over the fence. If we each…

A: Consider the given scenario. Given that the neighbour's location in the picture is given by the…

Q: Solve intergral, thank you

A: To evaluate: I=∫-10x2(x+1)12dx...(1)

Q: use quadratic formula to solve: -2x2 - 5x + 3=0

A: Quadratic formula is used to solve any quadratic equation, i.e. an equation that can be written in…

Q: Write the guadratic equation whose rootsS are –6 and 2, and whose leading coefficient Is (Use the…

A: Solution: Given roots -6 and 2, and the leading coefficient is 1

Q: Write a polynomial equation with integral coefficients that has -2, 2, and 3 as roots.

A: if a, b, c are the roots of any polynomial equation, then Polynomial equation is given by,…

Q: Write the quadratic equation whose roots are 6 and 1, and whose leading coefficient is 3.

A: Since the roots are 1 and 6. That means, x=1⇒x-1=0And,x=6⇒x-6=0 Therefore, a polynomial with leading…

Q: Solve for x. 8e^(-7x)=2

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Q: Solve for xx: 4x=23

A: use the basic operation of multiplication.

Q: Solve: V6x + 7 – x = 2.

A: To solve the equation: 6x+7-x=2 Solution: Adding x on both sides of equation, we get…

Q: What is quadratic equation ?

A: Suppose ft be a quadratic polynomial in indeterminate t, then the general form of the quadratic…

Q: 5.) x2 – 16x+ 50 = 2 6.) 10 x- 20x- 83 = -3

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Q: Find the equation of the quadratic function in factored form that has roots 3 and -1 and passes…

A: The standard form of the quadratic function is fx=ax2+bx+c, where x is a variable and a, b and c are…

Q: Write a quadratic equation in standard form with roots -7/3 and 2 and passing through the point…

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Q: Without solving, determine the character of the solution ofthe quadratic equation 4x2 - 28x + 49 = 0…

A: For a quadratic equation ax2+bx+c=0 the solution is given by the quadratic formula -b±b2-4ac2a. The…

Q: discriminate

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Q: Rationalize the numerator of the equation: Square root of "x" minus 6, divided by x minus 36

A: We need to rationalize the numerator of the expression

Q: Find the equation of the quadratic function in factored form that has roots 3 and -1 and passes…

A: equation of quadratic function in factored form that has roots a and b is : y=C(x-a)(x-b) here C is…

Q: y3 x-4x-5 y = x+4x--5 y= x-6x+5

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Q: Write a quadratic equation in standard form with roots -- and 2 and passing through the point (0,…

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Q: Find atleast 1 root for the equation 5x5 + 10x? = 3

A: Introduction: An equation can be described mathematically as a statement that proves the equality of…

Q: Write a quadratic equation in standard form that has solutions of 4 and -7.

A: Qudratic formation

Q: Without solving, determine the character of the solutions ofthe quadratic equation 4x2 - 28x + 49 =…

A: Given:  4x2 - 28x + 49 = 0

Q: 3.) 2x2 + 16x- 70 = -4

A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Find the roots of -x3 + 9x2 -18x = 0

A: Solution: The objective is to find the roots of the given equation

Q: Form a polynomial equation of lowest degree with roots 5,-4 and 1.

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Q: Write a quadratic equation in standard form with the given equation. -7,3/4 Not Graded

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Q: 10 -10 -5 10 -5 -10

A: If the graph of the quadratic function crosses the x-axis at two points then we have two solutions.…

Q: At a certain time of day, a tree that is x meters tall casts a shadow that is x−14x−14 meters long.…

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Q: List the solutions of the equation: 0 = -x² + 20x + 3

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Q: find the quadratic equation with integral coefficients whose roots are 0 and -7.

A: we have to find the quadratic equation

Q: Represent the following using quadratic equation in standard form:   If the square of a number is…

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Q: Will “the domain and range of a quadratic equation will be [-∞, ∞]”? Why?

A: The general form of a quadratic equation is ax2+bx+c=0 where a, b, c are known scalars with a≠0. We…

Q: write an equation of a quadratic that in vertex form of (3, 0) and passes through (6, 1)

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Q: solve for x -7x+11x+5=2x+31

A: Combine like terms on the left side. -7x+11x=4x

Q: Write the equation of the quadratic function with vertex (2,-4) passing through point (0,6).

A:

Q: Determine a positive real root of this equation using appropriate software: 2x3 − 10x0.5 − 3x = −3

A: Consider the given equation as 2x3-10x0.5-3x=-3

Q: (In(3x²))² 1

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Q: Provide an example of a Quadratic Equation

A: Topic = Equaions

Q: write a quadratic equation in standard form that has roots of -12 and 2

A: Given, x= -12  Therefore, x+12=0 Here, (x+12) is one factor. Also given, x=2 Therefore, x-2=0 Here,…

Q: A person has a rectangular garden that has a length of 13 feet longer than the width. Set up a…

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Q: 4x + 3x-3=-3x

A: Simplification

Q: Solve In (4x) = 3.

A: The given equation is ln4x=3. Take exponential on both sides. eln4x=e3