How to solve 98.5=(x)^(2)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 98.5=(x)^(2) | Equatix

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Question

$$98.5= { x }^{ 2 }$$

Solve for x

$x = \frac{\sqrt{394}}{2} \approx 9.924716621$
$x = -\frac{\sqrt{394}}{2} \approx -9.924716621$

Steps by Finding Square Root

Steps Using the Quadratic Formula

Steps by Finding Square Root

Swap sides so that all variable terms are on the left hand side.

$$x^{2}=98.5$$

Take the square root of both sides of the equation.

$$x=\frac{\sqrt{394}}{2}$$ $$x=-\frac{\sqrt{394}}{2}$$

Steps Using the Quadratic Formula

Swap sides so that all variable terms are on the left hand side.

$$x^{2}=98.5$$

Subtract $98.5$ from both sides.

$$x^{2}-98.5=0$$

This equation is in standard form: $ax^{2}+bx+c=0$. Substitute $1$ for $a$, $0$ for $b$, and $-98.5$ for $c$ in the quadratic formula, $\frac{-b±\sqrt{b^{2}-4ac}}{2a}$.

$$x=\frac{0±\sqrt{0^{2}-4\left(-98.5\right)}}{2}$$

Square $0$.

$$x=\frac{0±\sqrt{-4\left(-98.5\right)}}{2}$$

Multiply $-4$ times $-98.5$.

$$x=\frac{0±\sqrt{394}}{2}$$

Now solve the equation $x=\frac{0±\sqrt{394}}{2}$ when $±$ is plus.

$$x=\frac{\sqrt{394}}{2}$$

Now solve the equation $x=\frac{0±\sqrt{394}}{2}$ when $±$ is minus.

$$x=-\frac{\sqrt{394}}{2}$$

The equation is now solved.

$$x=\frac{\sqrt{394}}{2}$$ $$x=-\frac{\sqrt{394}}{2}$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Solve for x

Steps by Finding Square Root

Steps Using the Quadratic Formula

Steps by Finding Square Root

Steps Using the Quadratic Formula