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-7x+5x2=10

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Solution for -7x+5x2=10 equation:



-7x+5x^2=10
We move all terms to the left:
-7x+5x^2-(10)=0
a = 5; b = -7; c = -10;
Δ = b2-4ac
Δ = -72-4·5·(-10)
Δ = 249
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}

x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-\sqrt{249}}{2*5}=\frac{7-\sqrt{249}}{10}
x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{249}}{2*5}=\frac{7+\sqrt{249}}{10}

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