Question

solve the equation. approximate irrational solutions to the nearest hundredth.$2x^{2}+4x^{2}=66$select the correct answer below and, if necessary, fill in the answer box to complete your choice.a. $x=$ (type an integer or decimal rounded to the nearest hundredth as needed. use a comma to separate answers as needed.)b. there is no real solution.

Explanation:

Step1: Combine like terms

$2x^2 + 4x^2 = 6x^2$
Equation becomes: $6x^2 = 66$

Step2: Isolate $x^2$

Divide both sides by 6: $x^2 = \frac{66}{6} = 11$

Step3: Solve for x

Take square roots: $x = \pm\sqrt{11}$

Step4: Approximate value

$\sqrt{11} \approx 3.32$, so $x \approx 3.32, -3.32$

Answer:

A. $x = 3.32, -3.32$