Question

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

Answer 1

Answer

x^2 = 7

so yeah u could've looked it up

Answer 2

The exact solution of $3 x^{2}+7=28$ is $\sqrt{7}$ 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,

$\begin{array}{l}{\rightarrow 3 x^{2}=28-7} \\\\ {\rightarrow 3 x^{2}=21} \\\\ {\rightarrow 3 x^{2}=3 \times 7}\end{array}$

On cancelling “3” on both sides, we get

$\rightarrow x^{2}=7$

Taking square root on both sides,

$\rightarrow x=\sqrt{7}$

x = 2.64575

Hence, the exact solution for the x is $\sqrt{7}$ or 2.64575