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Popular >

(x-3)^2=x^2+2x+1

Solution

(x - 3)^{2} = x^{2} + 2 x + 1

Solution

x = 1

Solution steps

(x - 3)^{2} = x^{2} + 2 x + 1

Expand

(x - 3)^{2} : x^{2} - 6 x + 9

x^{2} - 6 x + 9 = x^{2} + 2 x + 1

Move

9

to the right side

x^{2} - 6 x = x^{2} + 2 x - 8

Subtract

x^{2} + 2 x

from both sides

x^{2} - 6 x - (x^{2} + 2 x) = x^{2} + 2 x - 8 - (x^{2} + 2 x)

Simplify

- 8 x = - 8

Divide both sides by

- 8

x = 1

Graph

Popular Examples

factor 64r^2-144r+81 factor

64 r^{2} - 144 r + 81

factor 8x^2-46x+30 factor

8 x^{2} - 46 x + 30

3 + ∣ 2 x + 1 ∣ = 13

∣ x - 2 ∣ < 3 ∣ x + 7 ∣

simplify x^{1/2}*2x^{1/2}simplify

x^{\frac{1}{2}} \cdot 2 x^{\frac{1}{2}}

Frequently Asked Questions (FAQ)

What is the answer to (x-3)^2=x^2+2x+1 ?
The answer to (x-3)^2=x^2+2x+1 is x=1
Solve for x: (x-3)^2=x^2+2x+1
The solution is x=1