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29=p*p
We move all terms to the left:
29-(p*p)=0
We add all the numbers together, and all the variables
-(+p*p)+29=0
We get rid of parentheses
-p*p+29=0
Wy multiply elements
-1p^2+29=0
a = -1; b = 0; c = +29;
Δ = b2-4ac
Δ = 02-4·(-1)·29
Δ = 116
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{116}=\sqrt{4*29}=\sqrt{4}*\sqrt{29}=2\sqrt{29}$$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{29}}{2*-1}=\frac{0-2\sqrt{29}}{-2} =-\frac{2\sqrt{29}}{-2} =-\frac{\sqrt{29}}{-1} $$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{29}}{2*-1}=\frac{0+2\sqrt{29}}{-2} =\frac{2\sqrt{29}}{-2} =\frac{\sqrt{29}}{-1} $
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