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X*2X=24.5
We move all terms to the left:
X*2X-(24.5)=0
We add all the numbers together, and all the variables
X*2X-24.5=0
Wy multiply elements
2X^2-24.5=0
a = 2; b = 0; c = -24.5;
Δ = b2-4ac
Δ = 02-4·2·(-24.5)
Δ = 196
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{196}=14$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-14}{2*2}=\frac{-14}{4} =-3+1/2 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+14}{2*2}=\frac{14}{4} =3+1/2 $
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