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-7b^2=-175
We move all terms to the left:
-7b^2-(-175)=0
We add all the numbers together, and all the variables
-7b^2+175=0
a = -7; b = 0; c = +175;
Δ = b2-4ac
Δ = 02-4·(-7)·175
Δ = 4900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{4900}=70$$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-70}{2*-7}=\frac{-70}{-14} =+5 $$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+70}{2*-7}=\frac{70}{-14} =-5 $
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