What are the solutions to the equation a^2-6a=13 ?

The solutions to the equation a^2-6a=13 are a=3+sqrt(22),a=3-sqrt(22)

Find the zeros of a^2-6a=13

The zeros of a^2-6a=13 are a=3+sqrt(22),a=3-sqrt(22)

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a^{2} - 6 a = 13

a = 3 + 22, a = 3 - 22

Solution steps

a^{2} - 6 a = 13

Move

13

to the left side

a^{2} - 6 a - 13 = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot ( - 13 )}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot (- 13) = 222

a_{1, 2} = \frac{- ( - 6 ) \pm 2 22}{2 \cdot 1}

Separate the solutions

a_{1} = \frac{- ( - 6 ) + 2 22}{2 \cdot 1}, a_{2} = \frac{- ( - 6 ) - 2 22}{2 \cdot 1}

a = \frac{- ( - 6 ) + 2 22}{2 \cdot 1} : 3 + 22

a = \frac{- ( - 6 ) - 2 22}{2 \cdot 1} : 3 - 22

The solutions to the quadratic equation are:

a = 3 + 22, a = 3 - 22

\frac{3}{4} - 4 \div (- \frac{1}{2}) (- \frac{1}{3})

v + 3 + 3 v = 15

7 y^{2} - 7 y = 0

6 p^{2} - 17 p - 45

a^{5} b^{7} - a^{4} b^{3} + a^{3} b^{8} - a^{3} b^{3}

What are the solutions to the equation a^2-6a=13 ?
The solutions to the equation a^2-6a=13 are a=3+sqrt(22),a=3-sqrt(22)
Find the zeros of a^2-6a=13
The zeros of a^2-6a=13 are a=3+sqrt(22),a=3-sqrt(22)