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4x*x+52x-120=0
We add all the numbers together, and all the variables
52x+4x*x-120=0
Wy multiply elements
4x^2+52x-120=0
a = 4; b = 52; c = -120;
Δ = b2-4ac
Δ = 522-4·4·(-120)
Δ = 4624
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{4624}=68$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(52)-68}{2*4}=\frac{-120}{8} =-15 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(52)+68}{2*4}=\frac{16}{8} =2 $
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