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7t^2=175
We move all terms to the left:
7t^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:$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{4900}=70$$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-70}{2*7}=\frac{-70}{14} =-5 $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+70}{2*7}=\frac{70}{14} =5 $
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