Question

use the square root property to solve the quadratic equation.$7x^2=4$choose the correct answer below and, if necessary, fill in the answer box to complete your choice.a. the real solution(s) is/are $x = $(simplify your answer, including any radicals. use integers or fractions for any numbers in the expression. use a comma to separate answers as needed.)b. there is no real solution.

Explanation:

Step1: Set equation to zero

$7x^2 - 4 = 0$

Step2: Isolate $x^2$ term

$7x^2 = 4 \implies x^2 = \frac{4}{7}$

Step3: Apply square root property

$x = \pm\sqrt{\frac{4}{7}}$

Step4: Simplify the radical

$x = \pm\frac{2}{\sqrt{7}} = \pm\frac{2\sqrt{7}}{7}$

Answer:

A. The real solution(s) is/are $x = \frac{2\sqrt{7}}{7}, -\frac{2\sqrt{7}}{7}$