Question

Find the exact solution of x 3x^2+7=28

Answer 1

x^2 = 7

so yeah u could've looked it up

Answer 2

The exact solution of
`3 x^(2)+7=28` is
`√(7)` or 2.64575

Solution:

Given, quadratic equation is
`3 x^(2)+7=28`

We have to find the exact solution for the variable x in the above given equation.

Now, let us solve the given equation to find the solution of the x

So, take the given equation,
`3 x^(2)+7=28`

On moving “7” from left side to right hand side we get,

`\begin{array}{l}{\rightarrow 3 x^(2)=28-7} \\\\ {\rightarrow 3 x^(2)=21} \\\\ {\rightarrow 3 x^(2)=3 * 7}\end{array}`

On cancelling “3” on both sides, we get

`\rightarrow x^(2)=7`

Taking square root on both sides,

`\rightarrow x=√(7)`

x = 2.64575

Hence, the exact solution for the x is
`√(7)` or 2.64575