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(-4*x)x-15=-64
We move all terms to the left:
(-4*x)x-15-(-64)=0
We add all the numbers together, and all the variables
(-4x)x-15-(-64)=0
We add all the numbers together, and all the variables
(-4x)x+49=0
We multiply parentheses
-4x^2+49=0
a = -4; b = 0; c = +49;
Δ = b2-4ac
Δ = 02-4·(-4)·49
Δ = 784
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{784}=28$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28}{2*-4}=\frac{-28}{-8} =3+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28}{2*-4}=\frac{28}{-8} =-3+1/2 $
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