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-4(x)=x2+4x-5
We move all terms to the left:
-4(x)-(x2+4x-5)=0
We add all the numbers together, and all the variables
-(+x^2+4x-5)-4x=0
We get rid of parentheses
-x^2-4x-4x+5=0
We add all the numbers together, and all the variables
-1x^2-8x+5=0
a = -1; b = -8; c = +5;
Δ = b2-4ac
Δ = -82-4·(-1)·5
Δ = 84
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{84}=\sqrt{4*21}=\sqrt{4}*\sqrt{21}=2\sqrt{21}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-2\sqrt{21}}{2*-1}=\frac{8-2\sqrt{21}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+2\sqrt{21}}{2*-1}=\frac{8+2\sqrt{21}}{-2} $
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