What are the solutions to the equation x^2=6x-9 ?

The solutions to the equation x^2=6x-9 are x=3

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x^2=6x-9

x^{2} = 6 x - 9

x = 3

Solution steps

x^{2} = 6 x - 9

Move

9

to the left side

x^{2} + 9 = 6 x

Move

6 x

to the left side

x^{2} + 9 - 6 x = 0

Write in the standard form

a x^{2} + b x + c = 0

x^{2} - 6 x + 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot 9}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot 9 = 0

x_{1, 2} = \frac{- ( - 6 ) \pm 0}{2 \cdot 1}

x = \frac{- ( - 6 )}{2 \cdot 1}

\frac{- ( - 6 )}{2 \cdot 1} = 3

x = 3

The solution to the quadratic equation is:

x = 3

4 - 5

4 x^{2} - 4 x + 3 = 0

\frac{p ^{2}}{q} \times \frac{q ^{2}}{p}

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

i^{81}

What are the solutions to the equation x^2=6x-9 ?
The solutions to the equation x^2=6x-9 are x=3
Find the zeros of x^2=6x-9
The zeros of x^2=6x-9 are x=3