What are the solutions to the equation x^2-16x+37=0 ?

The solutions to the equation x^2-16x+37=0 are x=8+3sqrt(3),x=8-3sqrt(3)

Find the zeros of x^2-16x+37=0

The zeros of x^2-16x+37=0 are x=8+3sqrt(3),x=8-3sqrt(3)

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x^{2} - 16 x + 37 = 0

x = 8 + 33, x = 8 - 33

Decimal Notation

x = 13.19615 \dots, x = 2.80384 \dots

Solution steps

x^{2} - 16 x + 37 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 1 \cdot 37}{2 \cdot 1}

(- 16)^{2} - 4 \cdot 1 \cdot 37 = 63

x_{1, 2} = \frac{- ( - 16 ) \pm 6 3}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 16 ) + 6 3}{2 \cdot 1}, x_{2} = \frac{- ( - 16 ) - 6 3}{2 \cdot 1}

x = \frac{- ( - 16 ) + 6 3}{2 \cdot 1} : 8 + 33

x = \frac{- ( - 16 ) - 6 3}{2 \cdot 1} : 8 - 33

The solutions to the quadratic equation are:

x = 8 + 33, x = 8 - 33

y, 6 x y^{2} + 2 x^{3} = 2 k

w^{2} + 14 w

w^{2} - 12 w - 12 = 0

t = 3 t^{2} + 2 t, \int_{0}^{2} t d t

5 x^{2} + 4 x - 10 = 0

What are the solutions to the equation x^2-16x+37=0 ?
The solutions to the equation x^2-16x+37=0 are x=8+3sqrt(3),x=8-3sqrt(3)
Find the zeros of x^2-16x+37=0
The zeros of x^2-16x+37=0 are x=8+3sqrt(3),x=8-3sqrt(3)