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b^{2}=-3.75
Subtract 76 from 72.25 to get -3.75.
b=\frac{\sqrt{15}i}{2} b=-\frac{\sqrt{15}i}{2}
The equation is now solved.
b^{2}=-3.75
Subtract 76 from 72.25 to get -3.75.
b^{2}+3.75=0
Add 3.75 to both sides.
b=\frac{0±\sqrt{0^{2}-4\times 3.75}}{2}
This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and 3.75 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
b=\frac{0±\sqrt{-4\times 3.75}}{2}
Square 0.
b=\frac{0±\sqrt{-15}}{2}
Multiply -4 times 3.75.
b=\frac{0±\sqrt{15}i}{2}
Take the square root of -15.
b=\frac{\sqrt{15}i}{2}
Now solve the equation b=\frac{0±\sqrt{15}i}{2} when ± is plus.
b=-\frac{\sqrt{15}i}{2}
Now solve the equation b=\frac{0±\sqrt{15}i}{2} when ± is minus.
b=\frac{\sqrt{15}i}{2} b=-\frac{\sqrt{15}i}{2}
The equation is now solved.