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X2-29X-1458=0
We add all the numbers together, and all the variables
X^2-29X-1458=0
a = 1; b = -29; c = -1458;
Δ = b2-4ac
Δ = -292-4·1·(-1458)
Δ = 6673
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{-(-29)-\sqrt{6673}}{2*1}=\frac{29-\sqrt{6673}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-29)+\sqrt{6673}}{2*1}=\frac{29+\sqrt{6673}}{2} $
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