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2x(2x+24)=160
We move all terms to the left:
2x(2x+24)-(160)=0
We multiply parentheses
4x^2+48x-160=0
a = 4; b = 48; c = -160;
Δ = b2-4ac
Δ = 482-4·4·(-160)
Δ = 4864
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{4864}=\sqrt{256*19}=\sqrt{256}*\sqrt{19}=16\sqrt{19}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(48)-16\sqrt{19}}{2*4}=\frac{-48-16\sqrt{19}}{8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(48)+16\sqrt{19}}{2*4}=\frac{-48+16\sqrt{19}}{8} $
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