3x^2-100=500 — step-by-step solution

Let's solve in

ℝ

3 x^{2} - 100 = 500

ⓘ We add

100

to both sides

3 x^{2} = 500 + 100

ⓘ Start from

500

and move forward

100

on the number line:

500 + 100

600

3 x^{2} = 600

ⓘ Both sides are divided by

3

x^{2} = 200

The two numbers whose square is

200

are

- 10 \cdot \sqrt{2}

and

10 \cdot \sqrt{2}

▶Solutions obtained:

x = {- 10 \cdot \sqrt{2}, 10 \cdot \sqrt{2}}

The numeric value of:

x = {- 10 \cdot \sqrt{2}, 10 \cdot \sqrt{2}}

equals:

x = {\approx - 10 \cdot 1.4142, \approx 10 \cdot 1.4142}

▷

x = {\approx -14.1421, \approx 14.1421}