What is the answer to (x-2)^2+sqrt(x^2)-3x+2=0 ?

The answer to (x-2)^2+sqrt(x^2)-3x+2=0 is x\approx 1.26794…,x\approx 4.73205…

Solve for x: (x-2)^2+sqrt(x^2)-3x+2=0

The solution is x\approx 1.26794…,x\approx 4.73205…

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(x - 2)^{2} + x^{2} - 3 x + 2 = 0

x \approx 1.26794 \dots, x \approx 4.73205 \dots

Solution steps

(x - 2)^{2} + x^{2} - 3 x + 2 = 0

Expand

(x - 2)^{2} + x^{2} - 3 x + 2 : x^{2} - 7 x + x^{2} + 6

x^{2} - 7 x + x^{2} + 6 = 0

Remove square roots

x^{2} = x^{4} - 14 x^{3} + 61 x^{2} - 84 x + 36

Solve

x^{2} = x^{4} - 14 x^{3} + 61 x^{2} - 84 x + 36 : x \approx 0.83772 \dots, x \approx 1.26794 \dots, x \approx 4.73205 \dots, x \approx 7.16227 \dots

x \approx 0.83772 \dots, x \approx 1.26794 \dots, x \approx 4.73205 \dots, x \approx 7.16227 \dots

Verify Solutions:

x \approx 0.83772 \dots

False

, x \approx 1.26794 \dots

True

, x \approx 4.73205 \dots

True

, x \approx 7.16227 \dots

False

The solutions are

x \approx 1.26794 \dots, x \approx 4.73205 \dots

x + 1 - x = 1

\frac{x ^{2}}{3 x ^{\frac{1}{3}} - 2} = 0

x^{0.15} + x = 28

(23 + 10 + x)^{\frac{1}{2}} = 27

\frac{( x - 4 )}{( x + 2 )} = x - 8

What is the answer to (x-2)^2+sqrt(x^2)-3x+2=0 ?
The answer to (x-2)^2+sqrt(x^2)-3x+2=0 is x\approx 1.26794…,x\approx 4.73205…
Solve for x: (x-2)^2+sqrt(x^2)-3x+2=0
The solution is x\approx 1.26794…,x\approx 4.73205…