What are the solutions to the equation 21x^2-23x-20=0 ?

The solutions to the equation 21x^2-23x-20=0 are x= 5/3 ,x=-4/7

Find the zeros of 21x^2-23x-20=0

The zeros of 21x^2-23x-20=0 are x= 5/3 ,x=-4/7

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21 x^{2} - 23 x - 20 = 0

x = \frac{5}{3}, x = - \frac{4}{7}

Decimal Notation

x = 1.66666 \dots, x = - 0.57142 \dots

Solution steps

21 x^{2} - 23 x - 20 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 23 ) \pm ( - 23 ) ^{2} - 4 \cdot 21 ( - 20 )}{2 \cdot 21}

(- 23)^{2} - 4 \cdot 21 (- 20) = 47

x_{1, 2} = \frac{- ( - 23 ) \pm 47}{2 \cdot 21}

Separate the solutions

x_{1} = \frac{- ( - 23 ) + 47}{2 \cdot 21}, x_{2} = \frac{- ( - 23 ) - 47}{2 \cdot 21}

x = \frac{- ( - 23 ) + 47}{2 \cdot 21} : \frac{5}{3}

x = \frac{- ( - 23 ) - 47}{2 \cdot 21} : - \frac{4}{7}

The solutions to the quadratic equation are:

x = \frac{5}{3}, x = - \frac{4}{7}

3 p^{2} + 14 p - 1 = 6 p

(x + 1)^{2} + 3 = (x + 2)^{2} - x^{2}

2 x^{2} - 1 = x^{2} + 24

5 x^{2} - 3 x + 3 = 0

y^{2} - 2 y + 12 = 0

What are the solutions to the equation 21x^2-23x-20=0 ?
The solutions to the equation 21x^2-23x-20=0 are x= 5/3 ,x=-4/7
Find the zeros of 21x^2-23x-20=0
The zeros of 21x^2-23x-20=0 are x= 5/3 ,x=-4/7