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X2=9.75X
We move all terms to the left:
X2-(9.75X)=0
We add all the numbers together, and all the variables
X2-(+9.75X)=0
We add all the numbers together, and all the variables
X^2-(+9.75X)=0
We get rid of parentheses
X^2-9.75X=0
a = 1; b = -9.75; c = 0;
Δ = b2-4ac
Δ = -9.752-4·1·0
Δ = 95.0625
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{-(-9.75)-\sqrt{95.0625}}{2*1}=\frac{9.75-\sqrt{95.0625}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9.75)+\sqrt{95.0625}}{2*1}=\frac{9.75+\sqrt{95.0625}}{2} $
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