Consider the following quadratic equation.

(x+3) ^2=43

When taking the square root of both sides of this equation, how many solutions will the equation have? How do you know?

A. The quadratic equation has exactly one real solution. This is because 43 has a unique non - negative square root, called the principal square root.

B. The quadratic equation has two real solutions to the quadratic equation. This is because 43 has two square roots: √43, which is positive, and - √43

C. The quadratic equation does not have any real solutions. This is because √43 is a complex number.

D. The quadratic equation does not have any real solutions. This is because √43 is not a perfect square.

Question

Rebecca Schwartz

Mathematics

17 February, 03:51

Consider the following quadratic equation.

(x+3) ^2=43

When taking the square root of both sides of this equation, how many solutions will the equation have? How do you know?

A. The quadratic equation has exactly one real solution. This is because 43 has a unique non - negative square root, called the principal square root.

B. The quadratic equation has two real solutions to the quadratic equation. This is because 43 has two square roots: √43, which is positive, and - √43

C. The quadratic equation does not have any real solutions. This is because √43 is a complex number.

D. The quadratic equation does not have any real solutions. This is because √43 is not a perfect square.

+2

Answers (1)

Know the Answer?

Joseph Holden · Answer 1

The correct answer for the question that is being presented above is this one: B. The quadratic equation has two real solutions to the quadratic equation. This is because 43 has two square roots: √43, which is positive, and - √43. When taking the square root of both sides of this equation, t he quadratic equation has two real solutions to the quadratic equation.