1. Equations & Inequalities

The Square Root Property

1. Equations & Inequalities

The Square Root Property

Struggling with College Algebra?

Join thousands of students who trust us to help them ace their exams!Watch the first video

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

Watch next

Master Solving Quadratic Equations by the Square Root Property with a bite sized video explanation from Patrick

Start learning

Related Videos

Related Practice

Textbook Question

Use the method described in Exercises 83–86, if applicable, and properties ofabsolute value to solve each equation or inequality. (Hint: Exercises 99 and 100 canbe solved by inspection.) | x2 + 1 | - | 2x | = 0

358

views

Textbook Question

Solve each equation. See Example 7. (x^2+24)^1/4 = 3

400

views

Textbook Question

Solve each equation. See Example 7. (x-3)^2/5 = 4

380

views

Multiple Choice

Solve the given quadratic equation using the square root property. $\left(x-\frac12\right)^2-5=0$

Solve each equation in Exercises 1 - 14 by factoring.x^2 - 3x - 10 = 0

626

views

Textbook Question

Match the equation in Column I with its solution(s) in Column II. x^2 + 5 = 0

637

views

Textbook Question

Use Choices A–D to answer each question. A. 3x^2 - 17x - 6 = 0 B. (2x + 5)^2 = 7 C. x^2 + x = 12 D. (3x - 1)(x - 7) = 0 Which equation is set up for direct use of the square root property? Solve it

700

views

Textbook Question

Answer each question. Answer each question. Answer each question. Unknown NumbersUse the following facts.If x represents an integer, then x+1 represents the next consecutive integer.If x represents an even integer, then x+2 represents the next consecutive even integer.If x represents an odd integer, then x+2 represents the next consecutive odd integer. Find two consecutive odd integers whose product is 63.

638

views

Show more practices

The Square Root Property practice set

Problem sets built by lead tutors

Expert video explanations

Go to Practice

Struggling with College Algebra?

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

Watch next

The Square Root Property practice set

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