What are the solutions to the equation 0=x^2-6x+4 ?

The solutions to the equation 0=x^2-6x+4 are x=3+sqrt(5),x=3-sqrt(5)

Find the zeros of 0=x^2-6x+4

The zeros of 0=x^2-6x+4 are x=3+sqrt(5),x=3-sqrt(5)

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0 = x^{2} - 6 x + 4

x = 3 + 5, x = 3 - 5

Decimal Notation

x = 5.23606 \dots, x = 0.76393 \dots

Solution steps

0 = x^{2} - 6 x + 4

Switch sides

x^{2} - 6 x + 4 = 0

Solve with the quadratic formula

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

(- 6)^{2} - 4 \cdot 1 \cdot 4 = 25

x_{1, 2} = \frac{- ( - 6 ) \pm 2 5}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 2 5}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 2 5}{2 \cdot 1}

x = \frac{- ( - 6 ) + 2 5}{2 \cdot 1} : 3 + 5

x = \frac{- ( - 6 ) - 2 5}{2 \cdot 1} : 3 - 5

The solutions to the quadratic equation are:

x = 3 + 5, x = 3 - 5

14 x^{2} + 73 x - 22 = 0

6 x^{2} + x - 12 = 0

(x - 4) (x - 2) = 0

X^{2} - 4 X + 5 = 0

x^{2} + 3 x + 21 = 0

What are the solutions to the equation 0=x^2-6x+4 ?
The solutions to the equation 0=x^2-6x+4 are x=3+sqrt(5),x=3-sqrt(5)
Find the zeros of 0=x^2-6x+4
The zeros of 0=x^2-6x+4 are x=3+sqrt(5),x=3-sqrt(5)