What is the answer to x^2=2022+sqrt(2022+x) ?

The answer to x^2=2022+sqrt(2022+x) is x\approx 45.46943…,x\approx-45.45831…

Solve for x: x^2=2022+sqrt(2022+x)

The solution is x\approx 45.46943…,x\approx-45.45831…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{2} = 2022 + 2022 + x

x \approx 45.46943 \dots, x \approx - 45.45831 \dots

Solution steps

x^{2} = 2022 + 2022 + x

Remove square roots

x^{4} - 4044 x^{2} + 4088484 = 2022 + x

Solve

x^{4} - 4044 x^{2} + 4088484 = 2022 + x : x \approx 45.46943 \dots, x \approx - 44.46943 \dots, x \approx 44.45831 \dots, x \approx - 45.45831 \dots

x \approx 45.46943 \dots, x \approx - 44.46943 \dots, x \approx 44.45831 \dots, x \approx - 45.45831 \dots

Verify Solutions:

x \approx 45.46943 \dots

True

, x \approx - 44.46943 \dots

False

, x \approx 44.45831 \dots

False

, x \approx - 45.45831 \dots

True

The solutions are

x \approx 45.46943 \dots, x \approx - 45.45831 \dots

y, x = - 2 - y^{2}

81 - x - x = 9

7 + x = 3

k^{0.7} = 0.4

What is the answer to x^2=2022+sqrt(2022+x) ?
The answer to x^2=2022+sqrt(2022+x) is x\approx 45.46943…,x\approx-45.45831…
Solve for x: x^2=2022+sqrt(2022+x)
The solution is x\approx 45.46943…,x\approx-45.45831…