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x^{2}-9=40
Consider \left(x+3\right)\left(x-3\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 3.
x^{2}=40+9
Add 9 to both sides.
x^{2}=49
Add 40 and 9 to get 49.
x=7 x=-7
Take the square root of both sides of the equation.
x^{2}-9=40
Consider \left(x+3\right)\left(x-3\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 3.
x^{2}-9-40=0
Subtract 40 from both sides.
x^{2}-49=0
Subtract 40 from -9 to get -49.
x=\frac{0±\sqrt{0^{2}-4\left(-49\right)}}{2}
This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -49 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{0±\sqrt{-4\left(-49\right)}}{2}
Square 0.
x=\frac{0±\sqrt{196}}{2}
Multiply -4 times -49.
x=\frac{0±14}{2}
Take the square root of 196.
x=7
Now solve the equation x=\frac{0±14}{2} when ± is plus. Divide 14 by 2.
x=-7
Now solve the equation x=\frac{0±14}{2} when ± is minus. Divide -14 by 2.
x=7 x=-7
The equation is now solved.