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8x(8x+6x)=7(7+9)
We move all terms to the left:
8x(8x+6x)-(7(7+9))=0
We add all the numbers together, and all the variables
8x(+14x)-(716)=0
We add all the numbers together, and all the variables
8x(+14x)-716=0
We multiply parentheses
112x^2-716=0
a = 112; b = 0; c = -716;
Δ = b2-4ac
Δ = 02-4·112·(-716)
Δ = 320768
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{320768}=\sqrt{256*1253}=\sqrt{256}*\sqrt{1253}=16\sqrt{1253}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16\sqrt{1253}}{2*112}=\frac{0-16\sqrt{1253}}{224} =-\frac{16\sqrt{1253}}{224} =-\frac{\sqrt{1253}}{14} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16\sqrt{1253}}{2*112}=\frac{0+16\sqrt{1253}}{224} =\frac{16\sqrt{1253}}{224} =\frac{\sqrt{1253}}{14} $
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