What are the solutions to the equation 21z^2+85z-26=0 ?

The solutions to the equation 21z^2+85z-26=0 are z= 2/7 ,z=-13/3

Find the zeros of 21z^2+85z-26=0

The zeros of 21z^2+85z-26=0 are z= 2/7 ,z=-13/3

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21 z^{2} + 85 z - 26 = 0

z = \frac{2}{7}, z = - \frac{13}{3}

Decimal Notation

z = 0.28571 \dots, z = - 4.33333 \dots

Solution steps

21 z^{2} + 85 z - 26 = 0

Solve with the quadratic formula

z_{1, 2} = \frac{- 85 \pm 8 5 ^{2} - 4 \cdot 21 ( - 26 )}{2 \cdot 21}

8 5^{2} - 4 \cdot 21 (- 26) = 97

z_{1, 2} = \frac{- 85 \pm 97}{2 \cdot 21}

Separate the solutions

z_{1} = \frac{- 85 + 97}{2 \cdot 21}, z_{2} = \frac{- 85 - 97}{2 \cdot 21}

z = \frac{- 85 + 97}{2 \cdot 21} : \frac{2}{7}

z = \frac{- 85 - 97}{2 \cdot 21} : - \frac{13}{3}

The solutions to the quadratic equation are:

z = \frac{2}{7}, z = - \frac{13}{3}

4 y - (- 2 y - 3) = 9

∣ 7 x + 2 ∣ > 10

8 (\frac{1}{2}) + 3 (7) - 18

0 = 16 t^{2} + 40 t - 280

∣ 2 x + 5 ∣ < 4

What are the solutions to the equation 21z^2+85z-26=0 ?
The solutions to the equation 21z^2+85z-26=0 are z= 2/7 ,z=-13/3
Find the zeros of 21z^2+85z-26=0
The zeros of 21z^2+85z-26=0 are z= 2/7 ,z=-13/3