How to solve 2x ^ 2 = 8 ^ 16

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 2x ^ 2 = 8 ^ 16 | Equatix

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Question

$$2x^{+2}=8^{16}$$

Solve for x

$x=8388608\sqrt{2}\approx 11863283.203031445$
$x=-8388608\sqrt{2}\approx -11863283.203031445$

Steps by Finding Square Root

Steps Using the Quadratic Formula

Steps by Finding Square Root

Calculate $8$ to the power of $16$ and get $281474976710656$.

$$2x^{2}=281474976710656$$

Divide both sides by $2$.

$$x^{2}=\frac{281474976710656}{2}$$

Divide $281474976710656$ by $2$ to get $140737488355328$.

$$x^{2}=140737488355328$$

Take the square root of both sides of the equation.

$$x=8388608\sqrt{2}$$ $$x=-8388608\sqrt{2}$$

Steps Using the Quadratic Formula

Calculate $8$ to the power of $16$ and get $281474976710656$.

$$2x^{2}=281474976710656$$

Subtract $281474976710656$ from both sides.

$$2x^{2}-281474976710656=0$$

This equation is in standard form: $ax^{2}+bx+c=0$. Substitute $2$ for $a$, $0$ for $b$, and $-281474976710656$ for $c$ in the quadratic formula, $\frac{-b±\sqrt{b^{2}-4ac}}{2a}$.

$$x=\frac{0±\sqrt{0^{2}-4\times 2\left(-281474976710656\right)}}{2\times 2}$$

Square $0$.

$$x=\frac{0±\sqrt{-4\times 2\left(-281474976710656\right)}}{2\times 2}$$

Multiply $-4$ times $2$.

$$x=\frac{0±\sqrt{-8\left(-281474976710656\right)}}{2\times 2}$$

Multiply $-8$ times $-281474976710656$.

$$x=\frac{0±\sqrt{2251799813685248}}{2\times 2}$$

Take the square root of $2251799813685248$.

$$x=\frac{0±33554432\sqrt{2}}{2\times 2}$$

Multiply $2$ times $2$.

$$x=\frac{0±33554432\sqrt{2}}{4}$$

Now solve the equation $x=\frac{0±33554432\sqrt{2}}{4}$ when $±$ is plus.

$$x=8388608\sqrt{2}$$

Now solve the equation $x=\frac{0±33554432\sqrt{2}}{4}$ when $±$ is minus.

$$x=-8388608\sqrt{2}$$

The equation is now solved.

$$x=8388608\sqrt{2}$$ $$x=-8388608\sqrt{2}$$

Show Solution

Basic Math

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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