1. Equations & Inequalities

The Square Root Property

1. Equations & Inequalities

The Square Root Property

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Multiple Choice

Solve the given quadratic equation using the square root property. $2x^2-16=0$

$x=0,x=-2$

$x=4\sqrt2,x=-4\sqrt2$

$x=4,x=-4$

$x=2\sqrt2,x=-2\sqrt2$

Verified step by step guidance

Start by isolating the quadratic term. The given equation is 2x^2 - 16 = 0. Add 16 to both sides to get 2x^2 = 16.

Divide both sides of the equation by 2 to solve for x^2. This gives x^2 = 8.

Apply the square root property to solve for x. The square root property states that if x^2 = a, then x = ±√a. Therefore, x = ±√8.

Simplify the square root of 8. Note that √8 can be expressed as √(4 * 2), which simplifies to 2√2.

Conclude that the solutions to the equation are x = 2√2 and x = -2√2.

6:12m

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The Square Root Property practice set

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Struggling with College Algebra?

Solve the given quadratic equation using the square root property. 2x2−16=02x^2-16=02x2−16=0

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The Square Root Property practice set

Solve the given quadratic equation using the square root property. $2x^2-16=0$