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(28x*28x)-49x+8x-14=0
We add all the numbers together, and all the variables
(+28x*28x)-49x+8x-14=0
We add all the numbers together, and all the variables
-41x+(+28x*28x)-14=0
We get rid of parentheses
-41x+28x*28x-14=0
Wy multiply elements
784x^2-41x-14=0
a = 784; b = -41; c = -14;
Δ = b2-4ac
Δ = -412-4·784·(-14)
Δ = 45585
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{45585}=\sqrt{9*5065}=\sqrt{9}*\sqrt{5065}=3\sqrt{5065}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-41)-3\sqrt{5065}}{2*784}=\frac{41-3\sqrt{5065}}{1568} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-41)+3\sqrt{5065}}{2*784}=\frac{41+3\sqrt{5065}}{1568} $
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