What are the solutions to the equation 3x^2-2x-21=0 ?

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

Find the zeros of 3x^2-2x-21=0

The zeros of 3x^2-2x-21=0 are x=3,x=-7/3

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

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

Decimal Notation

x = 3, x = - 2.33333 \dots

Solution steps

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

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 3 ( - 21 )}{2 \cdot 3}

(- 2)^{2} - 4 \cdot 3 (- 21) = 16

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

Separate the solutions

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

x = \frac{- ( - 2 ) + 16}{2 \cdot 3} : 3

x = \frac{- ( - 2 ) - 16}{2 \cdot 3} : - \frac{7}{3}

The solutions to the quadratic equation are:

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

r, s = 4 π r^{2}

9 (x^{2} - 9) - 2 = 17

x^{2} - 12 x + 36 = 44

5 x^{2} + 9 x + 4

x^{2} - x + 30 = 0

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