Question

Question
Solve the equation. Enter the answer in radical form, and then use a calculator to approximate the
solution to two decimal places, if necessary. Use a graphing calculator to graph the related function to
check your answer.
5x2 - 16 = 29
The solutions are x =
and x-

Answer 1

Answer:

solving the equation $5x^2 - 16 = 29$ we get the solution: $\mathbf{x=3,x=-3}$

Step-by-step explanation:

We need to solve the equation $5x^2 - 16 = 29$

We need to solve the equation to find the value of x.

We can solve this equation using simple DMAS rule.

We are given:

$5x^2 - 16 = 29$

Add 16 on both sides

$5x^2 - 16+16 = 29+16\\5x^2=45$

Now, divide both sides by 5

$\frac{5x^2}{5}=\frac{45}{5} \\x^2=9$

Now, we know that $\sqrt{x^2}=\pm x$

Taking square root on both sides.

$\sqrt{x^2}=\sqrt{9}\\x=\pm3$

So, we get values of x:

$x=3, x=-3$

Therefore, solving the equation $5x^2 - 16 = 29$ we get the solution: $\mathbf{x=3,x=-3}$