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5x+(4x)(2)=175
We move all terms to the left:
5x+(4x)(2)-(175)=0
We add all the numbers together, and all the variables
4x^2+5x-175=0
a = 4; b = 5; c = -175;
Δ = b2-4ac
Δ = 52-4·4·(-175)
Δ = 2825
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{2825}=\sqrt{25*113}=\sqrt{25}*\sqrt{113}=5\sqrt{113}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-5\sqrt{113}}{2*4}=\frac{-5-5\sqrt{113}}{8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+5\sqrt{113}}{2*4}=\frac{-5+5\sqrt{113}}{8} $
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