2x^2+5=9 — step-by-step solution

Let's solve in

ℝ

2 x^{2} + 5 = 9

ⓘ We subtract

5

from both sides

2 x^{2} = 9 - 5

ⓘ Start from

9

and move back

5

on the number line:

9 - 5

4

2 x^{2} = 4

ⓘ Both sides are divided by

2

x^{2} = 2

The two numbers whose square is

2

are

- \sqrt{2}

and

\sqrt{2}

▶Solutions found:

x = {- \sqrt{2}, \sqrt{2}}

The numeric value of:

x = {- \sqrt{2}, \sqrt{2}}

equals:

▷

x = {\approx -1.4142, \approx 1.4142}