What are the solutions to the equation x^2-14x-3=0 ?

The solutions to the equation x^2-14x-3=0 are x=7+2sqrt(13),x=7-2sqrt(13)

Find the zeros of x^2-14x-3=0

The zeros of x^2-14x-3=0 are x=7+2sqrt(13),x=7-2sqrt(13)

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x^{2} - 14 x - 3 = 0

x = 7 + 213, x = 7 - 213

Decimal Notation

x = 14.21110 \dots, x = - 0.21110 \dots

Solution steps

x^{2} - 14 x - 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 1 \cdot ( - 3 )}{2 \cdot 1}

(- 14)^{2} - 4 \cdot 1 \cdot (- 3) = 413

x_{1, 2} = \frac{- ( - 14 ) \pm 4 13}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 14 ) + 4 13}{2 \cdot 1}, x_{2} = \frac{- ( - 14 ) - 4 13}{2 \cdot 1}

x = \frac{- ( - 14 ) + 4 13}{2 \cdot 1} : 7 + 213

x = \frac{- ( - 14 ) - 4 13}{2 \cdot 1} : 7 - 213

The solutions to the quadratic equation are:

x = 7 + 213, x = 7 - 213

\frac{1}{2} - 5

f = (0)^{2} + 5

x^{3} - 9 x^{2}

∣ x + 3 ∣ \leq 7

∣ 3 x + 3 ∣ = 9

What are the solutions to the equation x^2-14x-3=0 ?
The solutions to the equation x^2-14x-3=0 are x=7+2sqrt(13),x=7-2sqrt(13)
Find the zeros of x^2-14x-3=0
The zeros of x^2-14x-3=0 are x=7+2sqrt(13),x=7-2sqrt(13)