What are the solutions to the equation 0=x^2-10x+22 ?

The solutions to the equation 0=x^2-10x+22 are x=5+sqrt(3),x=5-sqrt(3)

Find the zeros of 0=x^2-10x+22

The zeros of 0=x^2-10x+22 are x=5+sqrt(3),x=5-sqrt(3)

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0 = x^{2} - 10 x + 22

x = 5 + 3, x = 5 - 3

Solution steps

0 = x^{2} - 10 x + 22

Switch sides

x^{2} - 10 x + 22 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 1 \cdot 22}{2 \cdot 1}

(- 10)^{2} - 4 \cdot 1 \cdot 22 = 23

x_{1, 2} = \frac{- ( - 10 ) \pm 2 3}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 2 3}{2 \cdot 1}, x_{2} = \frac{- ( - 10 ) - 2 3}{2 \cdot 1}

x = \frac{- ( - 10 ) + 2 3}{2 \cdot 1} : 5 + 3

x = \frac{- ( - 10 ) - 2 3}{2 \cdot 1} : 5 - 3

The solutions to the quadratic equation are:

x = 5 + 3, x = 5 - 3

∣ 3 a + 5 ∣ = ∣ 4 a - 9 ∣

14 x^{2} - 11 x + 10 = 0

m^{2} - 8 m - 16 = - 16

4 + - 25

\frac{3 x - 2}{4} - \frac{2 x - 5}{3} = \frac{1 + x}{6}

What are the solutions to the equation 0=x^2-10x+22 ?
The solutions to the equation 0=x^2-10x+22 are x=5+sqrt(3),x=5-sqrt(3)
Find the zeros of 0=x^2-10x+22
The zeros of 0=x^2-10x+22 are x=5+sqrt(3),x=5-sqrt(3)