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+sqrt(6),y=3-sqrt(6)

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

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

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

y = 3 + 6, y = 3 - 6

Decimal Notation

y = 5.44948 \dots, y = 0.55051 \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 = 26

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

y = 3 + 6, y = 3 - 6

y = 2.49 \cdot 1 0^{- 3} (1 - \frac{0.5714 - 2000 y}{- 2})^{2}

x^{2} = 1 2^{2} + 1 2^{2}

3 x^{2} + 12 x + 13

x^{2} + 6 x - 27 = 0

m^{2} + 10 m + 11 = 31

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