What are the solutions to the equation y^2-6y-3=0 ?

The solutions to the equation y^2-6y-3=0 are y=3+2sqrt(3),y=3-2sqrt(3)

Find the zeros of y^2-6y-3=0

The zeros of y^2-6y-3=0 are y=3+2sqrt(3),y=3-2sqrt(3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{2} - 6 y - 3 = 0

y = 3 + 23, y = 3 - 23

Decimal Notation

y = 6.46410 \dots, y = - 0.46410 \dots

Solution steps

y^{2} - 6 y - 3 = 0

Solve with the quadratic formula

y_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot ( - 3 )}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot (- 3) = 43

y_{1, 2} = \frac{- ( - 6 ) \pm 4 3}{2 \cdot 1}

Separate the solutions

y_{1} = \frac{- ( - 6 ) + 4 3}{2 \cdot 1}, y_{2} = \frac{- ( - 6 ) - 4 3}{2 \cdot 1}

y = \frac{- ( - 6 ) + 4 3}{2 \cdot 1} : 3 + 23

y = \frac{- ( - 6 ) - 4 3}{2 \cdot 1} : 3 - 23

The solutions to the quadratic equation are:

y = 3 + 23, y = 3 - 23

2 x + 2 = x^{2} - 2 x - 43

2 x^{2}

1.1 (3.4 x - 2.3)^{2} = 15.5

x^{2} = 4

x^{2} - 14 = 50

What are the solutions to the equation y^2-6y-3=0 ?
The solutions to the equation y^2-6y-3=0 are y=3+2sqrt(3),y=3-2sqrt(3)
Find the zeros of y^2-6y-3=0
The zeros of y^2-6y-3=0 are y=3+2sqrt(3),y=3-2sqrt(3)