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Popular >

(x-9)^2=x^2+6x+9

Solution

(x - 9)^{2} = x^{2} + 6 x + 9

Solution

x = 3

Solution steps

(x - 9)^{2} = x^{2} + 6 x + 9

Expand

(x - 9)^{2} : x^{2} - 18 x + 81

x^{2} - 18 x + 81 = x^{2} + 6 x + 9

Move

81

to the right side

x^{2} - 18 x = x^{2} + 6 x - 72

Subtract

x^{2} + 6 x

from both sides

x^{2} - 18 x - (x^{2} + 6 x) = x^{2} + 6 x - 72 - (x^{2} + 6 x)

Simplify

- 24 x = - 72

Divide both sides by

- 24

x = 3

Popular Examples

P(1+0.02)-1100=P

P (1 + 0.02) - 1100 = P

factor a^2b^2+5abm+6m^2 factor

a^{2} b^{2} + 5 abm + 6 m^{2}

simplify 2b^{1/2}(3b^{1/2}c^{1/3})^2 simplify

2 b^{\frac{1}{2}} (3 b^{\frac{1}{2}} c^{\frac{1}{3}})^{2}

factor x^3+3x^2-13x-15 factor

x^{3} + 3 x^{2} - 13 x - 15

6 y + 2 = - y + 16

Frequently Asked Questions (FAQ)

What is the answer to (x-9)^2=x^2+6x+9 ?
The answer to (x-9)^2=x^2+6x+9 is x=3
Solve for x: (x-9)^2=x^2+6x+9
The solution is x=3