What are the solutions to the equation w^2-6w+9=13 ?

The solutions to the equation w^2-6w+9=13 are w=3+sqrt(13),w=3-sqrt(13)

Find the zeros of w^2-6w+9=13

The zeros of w^2-6w+9=13 are w=3+sqrt(13),w=3-sqrt(13)

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w^{2} - 6 w + 9 = 13

w = 3 + 13, w = 3 - 13

Decimal Notation

w = 6.60555 \dots, w = - 0.60555 \dots

Solution steps

w^{2} - 6 w + 9 = 13

Move

13

to the left side

w^{2} - 6 w - 4 = 0

Solve with the quadratic formula

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

(- 6)^{2} - 4 \cdot 1 \cdot (- 4) = 213

w_{1, 2} = \frac{- ( - 6 ) \pm 2 13}{2 \cdot 1}

Separate the solutions

w_{1} = \frac{- ( - 6 ) + 2 13}{2 \cdot 1}, w_{2} = \frac{- ( - 6 ) - 2 13}{2 \cdot 1}

w = \frac{- ( - 6 ) + 2 13}{2 \cdot 1} : 3 + 13

w = \frac{- ( - 6 ) - 2 13}{2 \cdot 1} : 3 - 13

The solutions to the quadratic equation are:

w = 3 + 13, w = 3 - 13

9 x^{2} (x - 3) + 4 (3 - x)

\frac{2 m}{5} - \frac{1}{3} = 4

3 x^{2} + 6 = 19 x

- 4 \cdot \frac{1}{4}

\frac{2 x ^{2} - 11 x + 9}{9 x - 9}

What are the solutions to the equation w^2-6w+9=13 ?
The solutions to the equation w^2-6w+9=13 are w=3+sqrt(13),w=3-sqrt(13)
Find the zeros of w^2-6w+9=13
The zeros of w^2-6w+9=13 are w=3+sqrt(13),w=3-sqrt(13)