64+-112x+49x2=0

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Solution for 64+-112x+49x2=0 equation:



64+-112x+49x^2=0
We add all the numbers together, and all the variables
49x^2-112x=0
a = 49; b = -112; c = 0;
Δ = b2-4ac
Δ = -1122-4·49·0
Δ = 12544
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12544}=112$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-112)-112}{2*49}=\frac{0}{98} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-112)+112}{2*49}=\frac{224}{98} =2+2/7 $

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