30=7.5x2

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Solution for 30=7.5x2 equation:



30=7.5x^2
We move all terms to the left:
30-(7.5x^2)=0
We get rid of parentheses
-7.5x^2+30=0
a = -7.5; b = 0; c = +30;
Δ = b2-4ac
Δ = 02-4·(-7.5)·30
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30}{2*-7.5}=\frac{-30}{-15} =+2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30}{2*-7.5}=\frac{30}{-15} =-2 $

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