What are the solutions to the equation y^2-13y=52 ?

The solutions to the equation y^2-13y=52 are y=(13+sqrt(377))/2 ,y=(13-sqrt(377))/2

Find the zeros of y^2-13y=52

The zeros of y^2-13y=52 are y=(13+sqrt(377))/2 ,y=(13-sqrt(377))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{2} - 13 y = 52

y = \frac{13 + 377}{2}, y = \frac{13 - 377}{2}

Decimal Notation

y = 16.20824 \dots, y = - 3.20824 \dots

Solution steps

y^{2} - 13 y = 52

Move

52

to the left side

y^{2} - 13 y - 52 = 0

Solve with the quadratic formula

y_{1, 2} = \frac{- ( - 13 ) \pm ( - 13 ) ^{2} - 4 \cdot 1 \cdot ( - 52 )}{2 \cdot 1}

(- 13)^{2} - 4 \cdot 1 \cdot (- 52) = 377

y_{1, 2} = \frac{- ( - 13 ) \pm 377}{2 \cdot 1}

Separate the solutions

y_{1} = \frac{- ( - 13 ) + 377}{2 \cdot 1}, y_{2} = \frac{- ( - 13 ) - 377}{2 \cdot 1}

y = \frac{- ( - 13 ) + 377}{2 \cdot 1} : \frac{13 + 377}{2}

y = \frac{- ( - 13 ) - 377}{2 \cdot 1} : \frac{13 - 377}{2}

The solutions to the quadratic equation are:

y = \frac{13 + 377}{2}, y = \frac{13 - 377}{2}

9 x^{2} - 16 x = 0

x^{2} - 100 x + 1200 = 0

4 x^{2} - 22 x - 32 = 0

- 4 x^{2} - 8 x = 0

5 x^{2} + 2 x + 9 = 0

What are the solutions to the equation y^2-13y=52 ?
The solutions to the equation y^2-13y=52 are y=(13+sqrt(377))/2 ,y=(13-sqrt(377))/2
Find the zeros of y^2-13y=52
The zeros of y^2-13y=52 are y=(13+sqrt(377))/2 ,y=(13-sqrt(377))/2