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

Q: Explain how to solve x2 + 6x + 8 = 0 using the quadratic formula.

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Q: Solve the quadratic by factoring. 5æ2 + x +1 = 5

A: quadratic equation in factor form ,  ( ax + b ) ( cx + d) = 0  Implise that ,  ax + b = 0 or cx + d…

Q: which is the easiest way to solve for quadratic equations and why

A: There are various ways to solve a quadratic equation. for example we can solve quadratic equation…

Q: If using the method of completing the square to solve the quadratic equation x2 + 8x + 11 = 0, which…

A: To complete the square of the quadratic equation             x2+8x+11=0 What number should be added…

Q: Why must we change the equation 3x2 - 2x = 4 to 3x2 - 2x - 4 = 0 before applying the quadratic…

A: Consider the equation, 3x2-2x=4

Q: Determine the nature of the roots of each quadratic equation using only the discriminant (DO NOT…

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Q: roots of the quadratic equation 2x2=18 is?

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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: Explain how you can determine , without solving, the number of real roots a quadratic equation has.…

A: Let us consider a quadratic equation, ax2+bx+c=0

Q: how to solve step by step: by using the square root property, determine all real solutions 5t^2 -…

A: Given,  5t2 - 200 = 0 =>5(t2 - 40) = 0 =>t2 - 40 = 0

Q: When can the square root property be used to solve a quadratic equation?

A: Square root property can be used when the quadratic equation is a perfect square. That is, when the…

Q: Solve quadratic equation by the square root property. 3x2 = 27

A: Given: 3x2=27 for solving this equation, we first divide whole equation by 3 then do square root…

Q: Identify the value of a, b and c in quadratic equation. Xsquared-15=0

A: The standard form is given by: Where a, b, and c are constants, or numerical coefficients, and x is…

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

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Q: What is quadratic equation ?

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

Q: Solve for the roots  3x3-11x2+5x+3

A: We have to find the roots of the polynomial 3x3−11x2+5x+3. For the roots of the polynomial, solve…

Q: solve using the quadratic formula

A: We need to solve the quadratic equation.

Q: 6. 4x2 - 11 = (0

A: The quadratic formula of the quadratic equation ax2+bx+c=0, to find the roots is given by:…

Q: Solve by quadratic formula  3x2 =6x+1

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Q: Solve for the roots   4x2-5x-2

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Q: What are the solutions of the quadratic equation? 4x2-9z 9 = 0 TII

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Q: If using the method of completing the square to solve the quadratic equation x2 + 3x – 17 = 0, which…

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Q: Solve by the square root property: 3x2 - 15 = 0

A: Square root property says that for any number c , x2=c then x=±c If c is positive then x has two…

Q: What error did this person make while solving the equation using the quadratic formula?

A: Given,                6x² + 11x - 35 = 0

Q: What's the creative way to remember the quadratic formula and how to apply it in a problem ?

A: To memorize formula in mathematics, the key is "Practice". So keep practicing. It is not difficult.…

Q: If one root of the quadratic equation 2x2 +kx-6=0 is 2.find the value of k .Also find the other…

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Q: What is quadratic equations?

A: We have to define the quadratic equations. Quadratic equations are the equations in one variable…

Q: How would I solve for number 14, using quadratic formula?

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Q: How is the quadratic formula derived?

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Q: Without solving for the roots, determine the nature of the roots of the quadratic equation. а.) (2x…

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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: Explain how to solve x2 + 6x + 8 = 0 using the quadratic formula ?

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Q: How do I solve using the quadratic formula

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Q: Solve for the roots 3x2-5x+2

A: Solution :-

Q: Solve for the roots in simplest form using the quadratic formula: 2x2 – 22 = 16x

A: Given :             The equation is 2x2 - 22 = 16x   To solve for the roots of 2x2 - 22 = 16x…

Q: If using the method of completing the square to solve the quadratic equation x2 - 10x +21= 0, which…

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Q: Why do we need zero on one side of a quadratic equation to solve theequation?

A: An equation is an equality with the algebraic terms involving different powers of the independent…

Q: - Solve the quadratic ineq 1.) -x2+6x + 720

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Q: Explain how to solve x2 + 6x + 8 = 0 by completing the square.

A: To complete the square, add square of the half of the coefficient of x on both sides. Here,…

Q: Solve by the square root property: 3x2 - 21 = 0

A: Given: The equation 3x2-21=0, To solve: The given equation by square root property.

Q: Solve for the roots in simplest form using the quadratic formula: x² + 48 = 14x

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Q: If using the method of completing the square to solve the quadratic equation - 15x + 22 = 0, which…

A: ⇒x2-15x+22=0 In order to complete the square, we need to find the last term. Last term =(Middle…

Q: Is there an intuitive or creative way to remember quadratic formula?

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

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Q: 5x2 - 9x + 10 =0

A: Given equation5x2-9x+10=0compair withax2+bx+c=0a=5,b=-9,c=10we know that quadratic…

Q: How to solve this problem with square roots and answer. (X+5)^2-5=-1

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Q: Solve for the roots in simplest form using the quadratic formula: 4x2 + 29 = –12x %3D

A: We can find the roots of a quadratic equation by using the Shree Dhara acharya formula as:-…

Q: 6. 4x2 - 11 = 0

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Q: Solve for the roots 16x4-1

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Q: Solve 2x2 – 8x + 3 = 0 using quadratic formula method. Round off your answer to the nea hundredth.…

A: Here we will use Quadratic formula.