Find the exact roots of x^2+10x-8=0 by completing the square. Explain the steps used for completing the square

Q: Write the quadratic equation whose roots are 3 and -3, and whose leading coefficient is 5. (Use the…

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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: Verify 1 and 3/2 are the roots of the equation 2x2-5x+3=0

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Q: Why do we take square roots of both sides of the equal sign when solving quadratics

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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: Describe the nature of the roots of the equation 49x^2-28x+4=0

A: Given that, 49x^2-28x+4=0

Q: Find the equations whose roots are given. 5/6, -2 1/2

A: The solution of the problem is given in the next step.

Q: Write the quadratic equation whose roots are 1 and 2, and whose leading coefficient is 2. (Use the…

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Q: Solve x2 + 5= 17 using square roots. Round your solutions to the nearest hundredth.

A: Topic-basic maths

Q: By using the method of completing the square. Show that the equation 4x2 + 3x + 5 = 0 has no real…

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Q: Write the quadratic equation whose roots are 5 and 6, and whose leading coefficient is 5. (Use the…

A: Quadratic equation

Q: Explain why possible solutions for radical equations must be checked.

A: The explanation of why is it important to check the solution of radical solutions:

Q: how did you find the root zeros

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Q: Determine the quadratic equation whose one root is 3 and the product of the roots is 36.

A: Topic = Quadratic equation

Q: Determine the roots of the equation by factoring 3x2 – x – 4 = 0. Verify the roots and be sure to…

A: Factoring the quadratic equation can be defined as the process of breaking the equation into the…

Q: how do i mulitply 2 - square root of 2 by 2 - square root of 2?

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Q: 2x + 4 3x + 10 24 エ

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Q: Give 3 examples of equation of radical and solve it

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Q: Find the third side in simplest radical form:

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Q: Determine the positive number that must be added or subtracted to the expression to complete the…

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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: Write the quadratic equation whose roots are 4 and 6, and whose leading coefficient is 2. (Use the…

A: Given Roots of quadratic equation are x=4 and x=6 and leading coefficient is 2 To find the quadratic…

Q: Find -sqaure root of 36.

A: sqaure root of 36.

Q: Show complete solution. Solve for the roots using algebraic method. 16x+ - 1

A: To Solve: The roots of 16x4-1 using algebraic method.

Q: Write the quadratic equation whose roots are 5 and 5, and whose leading coefficient is 1. (Use the…

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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: Solve for the roots in simplest form by completing the square: -6x² -96x 90 = 0

A: Given, -6x2-96x-90 = 0   We have to find the roots in simplest form by completing the square method.…

Q: Write the quadratic equation whose roots are 3 and -4, and whose leading coefficients is 3.

A: We know, the quadratic equation whose roots are x1 and x2, and whose leading coefficient is a is…

Q: Solve for x, only real roots  x3-4x2+x+6=0 Please write clearly thank you.

A: We have to find the roots of the following equation - x3-4x2+x+6=0

Q: How would you simplify:  3x/cube root of 3x^2

A: Given expression is

Q: Write the quadratic equation whose roots are -4 and 6, and whose leading coefficients is 1.

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Q: Solve for the roots in simplest form using the quadratic formula: 4x2 + 4x = 3 %3D

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Q: How to do you do square roots?

A: Square root of a number is a value, which on multiplication by itself gives the original number.…

Q: Show complete solution. Solve for the roots using algebraic method. 3x³-11x² + 5x+3

A: Solve: For the roots of 3x3-11x2+5x+3 using algebraic method.

Q: Rationalize the denominator and simplify:   Square root of 10 / ( [ square root of 5] - 2)

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Q: Write the quadratic equation whose roots are 6 and 2, and whose leading coefficient is 4. (Use the…

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Q: Express x2 + 6x + 16 in terms of a perfect square.

A: Given expression is x2+6x+16. Making the given expression as perfect square.…

Q: Rationalize the denominator and simplify. Leave your answer in factored form. (3y)/(sqrt(7)-2)

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Q: How would I solve this equation using the quadratic formula. Write all irrational solutions and…

A: We will solve the problem

Q: Write a quadratic equation whose roots are 3 and -5. 4.

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Q: Write the quadratic equation whose roots are-3 and-2, and whose leading coefficient is 4. (Use the…

A: Given query is to find the indicated quadratic equation.

Q: describe the nature of the roots of the equation 5x2+x=-4?

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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: Explain how to determine the number and type of roots (both real and imaginary) from the…

A: Consider a quadratic equation, ax2+bx+c=0 The discriminant D of a quadratic equation can be defined…

Q: Solve for the roots 16x4-1

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Q: What is the number of real roots of the equation 2x + 3x =- 4?

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Q: Write the quadratic equation whose roots are -6 and 4, and whose leading coefficient is 2. (Use the…

A: Topic = Quadratic equation

Q: Solve In (4x) = 3.

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

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.