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

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

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

`(5x^2)/(5)=(45)/(5) \\x^2=9`

Now, we know that
`√(x^2)=\pm x`

Taking square root on both sides.

`√(x^2)=√(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}`