Question

solve the equation. approximate irrational solutions to the nearest hundredth.
$6x^{2}+5x^{2}=187$
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

$6x^2 + 5x^2 = 11x^2$, so $11x^2=187$

Step2: Isolate $x^2$

Divide both sides by 11: $x^2=\frac{187}{11}=17$

Step3: Solve for $x$

Take square roots: $x=\pm\sqrt{17}$

Step4: Approximate value

$\sqrt{17}\approx4.12$, so $x\approx4.12, -4.12$

Answer:

A. $x=4.12, -4.12$