-7x2=-147

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Solution for -7x2=-147 equation:



-7x^2=-147
We move all terms to the left:
-7x^2-(-147)=0
We add all the numbers together, and all the variables
-7x^2+147=0
a = -7; b = 0; c = +147;
Δ = b2-4ac
Δ = 02-4·(-7)·147
Δ = 4116
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:
$\sqrt{\Delta}=\sqrt{4116}=\sqrt{196*21}=\sqrt{196}*\sqrt{21}=14\sqrt{21}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-14\sqrt{21}}{2*-7}=\frac{0-14\sqrt{21}}{-14} =-\frac{14\sqrt{21}}{-14} =-\frac{\sqrt{21}}{-1} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+14\sqrt{21}}{2*-7}=\frac{0+14\sqrt{21}}{-14} =\frac{14\sqrt{21}}{-14} =\frac{\sqrt{21}}{-1} $

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