Solve 225-0.01x^2=0

$$225-0.01 { x }^{ 2 } =0$$

Solve for x

$$x=150$$

$$x=-150$$

Steps by Finding Square Root

Subtract 225 from both sides. Anything subtracted from zero gives its negation.

$$-0.01x^{2}=-225$$

Divide both sides by -0.01.

$$x^{2}=\frac{-225}{-0.01}$$

Expand \frac{-225}{-0.01} by multiplying both numerator and the denominator by 100.

$$x^{2}=\frac{-22500}{-1}$$

Fraction \frac{-22500}{-1} can be simplified to 22500 by removing the negative sign from both the numerator and the denominator.

$$x^{2}=22500$$

Take the square root of both sides of the equation.

$$x=150 x=-150$$

Steps Using the Quadratic Formula

Quadratic equations like this one, with an x^{2} term but no x term, can still be solved using the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, once they are put in standard form: ax^{2}+bx+c=0.

$$-0.01x^{2}+225=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute -0.01 for a, 0 for b, and 225 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-0.01\right)\times 225}}{2\left(-0.01\right)}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-0.01\right)\times 225}}{2\left(-0.01\right)}$$

Multiply -4 times -0.01.

$$x=\frac{0±\sqrt{0.04\times 225}}{2\left(-0.01\right)}$$

Multiply 0.04 times 225.

$$x=\frac{0±\sqrt{9}}{2\left(-0.01\right)}$$

Take the square root of 9.

$$x=\frac{0±3}{2\left(-0.01\right)}$$

Multiply 2 times -0.01.

$$x=\frac{0±3}{-0.02}$$

Now solve the equation x=\frac{0±3}{-0.02} when ± is plus. Divide 3 by -0.02 by multiplying 3 by the reciprocal of -0.02.

$$x=-150$$

Now solve the equation x=\frac{0±3}{-0.02} when ± is minus. Divide -3 by -0.02 by multiplying -3 by the reciprocal of -0.02.

$$x=150$$

The equation is now solved.

$$x=-150 x=150$$