What are the solutions to the equation 2x^2-21x-11=0 ?

The solutions to the equation 2x^2-21x-11=0 are x=11,x=-1/2

Find the zeros of 2x^2-21x-11=0

The zeros of 2x^2-21x-11=0 are x=11,x=-1/2

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2 x^{2} - 21 x - 11 = 0

x = 11, x = - \frac{1}{2}

Decimal Notation

x = 11, x = - 0.5

Solution steps

2 x^{2} - 21 x - 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 21 ) \pm ( - 21 ) ^{2} - 4 \cdot 2 ( - 11 )}{2 \cdot 2}

(- 21)^{2} - 4 \cdot 2 (- 11) = 23

x_{1, 2} = \frac{- ( - 21 ) \pm 23}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- ( - 21 ) + 23}{2 \cdot 2}, x_{2} = \frac{- ( - 21 ) - 23}{2 \cdot 2}

x = \frac{- ( - 21 ) + 23}{2 \cdot 2} : 11

x = \frac{- ( - 21 ) - 23}{2 \cdot 2} : - \frac{1}{2}

The solutions to the quadratic equation are:

x = 11, x = - \frac{1}{2}

x, y^{2} = \frac{1}{2} x^{2}

m^{2} + 21 = m

4 x^{2} + 11 x = 20

4 q^{2} - 15 = \frac{1 + 4 q}{30}

8 x^{2} - 6 x = - 1

What are the solutions to the equation 2x^2-21x-11=0 ?
The solutions to the equation 2x^2-21x-11=0 are x=11,x=-1/2
Find the zeros of 2x^2-21x-11=0
The zeros of 2x^2-21x-11=0 are x=11,x=-1/2