What are the solutions to the equation y^2-14y=-30 ?

The solutions to the equation y^2-14y=-30 are y=7+sqrt(19),y=7-sqrt(19)

Find the zeros of y^2-14y=-30

The zeros of y^2-14y=-30 are y=7+sqrt(19),y=7-sqrt(19)

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y^{2} - 14 y = - 30

y = 7 + 19, y = 7 - 19

Decimal Notation

y = 11.35889 \dots, y = 2.64110 \dots

Solution steps

y^{2} - 14 y = - 30

Move

30

to the left side

y^{2} - 14 y + 30 = 0

Solve with the quadratic formula

y_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 1 \cdot 30}{2 \cdot 1}

(- 14)^{2} - 4 \cdot 1 \cdot 30 = 219

y_{1, 2} = \frac{- ( - 14 ) \pm 2 19}{2 \cdot 1}

Separate the solutions

y_{1} = \frac{- ( - 14 ) + 2 19}{2 \cdot 1}, y_{2} = \frac{- ( - 14 ) - 2 19}{2 \cdot 1}

y = \frac{- ( - 14 ) + 2 19}{2 \cdot 1} : 7 + 19

y = \frac{- ( - 14 ) - 2 19}{2 \cdot 1} : 7 - 19

The solutions to the quadratic equation are:

y = 7 + 19, y = 7 - 19

5 x^{2} + 7 = - 8

5 t^{2} - 60 t + 27 = 0

(x - 2)^{2} - 5 = - 6

x, f (x + 3) = 3 x^{2} + 4 x - 2

3 x^{2} = - 12 x - 5

What are the solutions to the equation y^2-14y=-30 ?
The solutions to the equation y^2-14y=-30 are y=7+sqrt(19),y=7-sqrt(19)
Find the zeros of y^2-14y=-30
The zeros of y^2-14y=-30 are y=7+sqrt(19),y=7-sqrt(19)