The exact solution of [tex]3 x^{2}+7=28[/tex] is [tex]\sqrt{7}[/tex] or 2.64575
Solution:
Given, quadratic equation is [tex]3 x^{2}+7=28[/tex]
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, [tex]3 x^{2}+7=28[/tex]
On moving “7” from left side to right hand side we get,
[tex]\begin{array}{l}{\rightarrow 3 x^{2}=28-7} \\\\ {\rightarrow 3 x^{2}=21} \\\\ {\rightarrow 3 x^{2}=3 \times 7}\end{array}[/tex]
On cancelling “3” on both sides, we get
[tex]\rightarrow x^{2}=7[/tex]
Taking square root on both sides,
[tex]\rightarrow x=\sqrt{7}[/tex]
x = 2.64575
Hence, the exact solution for the x is [tex]\sqrt{7}[/tex] or 2.64575
