What are the solutions to the equation x^2-14x+22=0 ?

The solutions to the equation x^2-14x+22=0 are x=7+3sqrt(3),x=7-3sqrt(3)

Find the zeros of x^2-14x+22=0

The zeros of x^2-14x+22=0 are x=7+3sqrt(3),x=7-3sqrt(3)

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

x = 7 + 33, x = 7 - 33

Decimal Notation

x = 12.19615 \dots, x = 1.80384 \dots

Solution steps

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

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 1 \cdot 22}{2 \cdot 1}

(- 14)^{2} - 4 \cdot 1 \cdot 22 = 63

x_{1, 2} = \frac{- ( - 14 ) \pm 6 3}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 14 ) + 6 3}{2 \cdot 1}, x_{2} = \frac{- ( - 14 ) - 6 3}{2 \cdot 1}

x = \frac{- ( - 14 ) + 6 3}{2 \cdot 1} : 7 + 33

x = \frac{- ( - 14 ) - 6 3}{2 \cdot 1} : 7 - 33

The solutions to the quadratic equation are:

x = 7 + 33, x = 7 - 33

\frac{p}{2} + 7 \leq 10

(x + 6) (2 x - 5) = 0

5 (3 d - 7) + 7 d = 10 d - (14 - 3 d)

2 x + 1 \leq 7

- 7 x + 12 = 0

What are the solutions to the equation x^2-14x+22=0 ?
The solutions to the equation x^2-14x+22=0 are x=7+3sqrt(3),x=7-3sqrt(3)
Find the zeros of x^2-14x+22=0
The zeros of x^2-14x+22=0 are x=7+3sqrt(3),x=7-3sqrt(3)