What are the solutions to the equation x^2-14x+35=0 ?

The solutions to the equation x^2-14x+35=0 are x=7+sqrt(14),x=7-sqrt(14)

Find the zeros of x^2-14x+35=0

The zeros of x^2-14x+35=0 are x=7+sqrt(14),x=7-sqrt(14)

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x^{2} - 14 x + 35 = 0

x = 7 + 14, x = 7 - 14

Decimal Notation

x = 10.74165 \dots, x = 3.25834 \dots

Solution steps

x^{2} - 14 x + 35 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 1 \cdot 35}{2 \cdot 1}

(- 14)^{2} - 4 \cdot 1 \cdot 35 = 214

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = 7 + 14, x = 7 - 14

4 (x + 6) = x + 3 (x + 5) + 9

5 x^{2} + 15 x

\frac{2 x}{5} = x - 3

- 5 x^{3} + 16 x^{2} - 9

∣ 4 x - 3 ∣ \geq 2

What are the solutions to the equation x^2-14x+35=0 ?
The solutions to the equation x^2-14x+35=0 are x=7+sqrt(14),x=7-sqrt(14)
Find the zeros of x^2-14x+35=0
The zeros of x^2-14x+35=0 are x=7+sqrt(14),x=7-sqrt(14)