7x2=15x

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Solution for 7x2=15x equation:



7x^2=15x
We move all terms to the left:
7x^2-(15x)=0
a = 7; b = -15; c = 0;
Δ = b2-4ac
Δ = -152-4·7·0
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-15}{2*7}=\frac{0}{14} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+15}{2*7}=\frac{30}{14} =2+1/7 $

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