11=4(x2)-(x-7)

Solution for 11=4(x2)-(x-7) equation:

11=4(x2)-(x-7)

We move all terms to the left:

11-(4(x2)-(x-7))=0


We calculate terms in parentheses: -(4x2-(x-7)), so:

4x2-(x-7)

We add all the numbers together, and all the variables

4x^2-(x-7)

We get rid of parentheses

4x^2-x+7

We add all the numbers together, and all the variables

4x^2-1x+7

Back to the equation:

-(4x^2-1x+7)


We get rid of parentheses

-4x^2+1x-7+11=0

We add all the numbers together, and all the variables

-4x^2+x+4=0

a = -4; b = 1; c = +4;
Δ = b2-4ac
Δ = 12-4·(-4)·4
Δ = 65
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{65}}{2*-4}=\frac{-1-\sqrt{65}}{-8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{65}}{2*-4}=\frac{-1+\sqrt{65}}{-8}
$