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x2+5x-21=0
We add all the numbers together, and all the variables
x^2+5x-21=0
a = 1; b = 5; c = -21;
Δ = b2-4ac
Δ = 52-4·1·(-21)
Δ = 109
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{-(5)-\sqrt{109}}{2*1}=\frac{-5-\sqrt{109}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{109}}{2*1}=\frac{-5+\sqrt{109}}{2} $
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