What are the solutions to the equation 10z^2-37z=36 ?

The solutions to the equation 10z^2-37z=36 are z= 9/2 ,z=-4/5

Find the zeros of 10z^2-37z=36

The zeros of 10z^2-37z=36 are z= 9/2 ,z=-4/5

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10 z^{2} - 37 z = 36

z = \frac{9}{2}, z = - \frac{4}{5}

Decimal Notation

z = 4.5, z = - 0.8

Solution steps

10 z^{2} - 37 z = 36

Move

36

to the left side

10 z^{2} - 37 z - 36 = 0

Solve with the quadratic formula

z_{1, 2} = \frac{- ( - 37 ) \pm ( - 37 ) ^{2} - 4 \cdot 10 ( - 36 )}{2 \cdot 10}

(- 37)^{2} - 4 \cdot 10 (- 36) = 53

z_{1, 2} = \frac{- ( - 37 ) \pm 53}{2 \cdot 10}

Separate the solutions

z_{1} = \frac{- ( - 37 ) + 53}{2 \cdot 10}, z_{2} = \frac{- ( - 37 ) - 53}{2 \cdot 10}

z = \frac{- ( - 37 ) + 53}{2 \cdot 10} : \frac{9}{2}

z = \frac{- ( - 37 ) - 53}{2 \cdot 10} : - \frac{4}{5}

The solutions to the quadratic equation are:

z = \frac{9}{2}, z = - \frac{4}{5}

35 x^{2} - 8 x - 3 = 0

(x - 3)^{2} - (2 x + 5^{2}) = - 26 x - 28

4 x^{2} + 8 n = 36

13 + 12 x - x^{2}

6 x^{2} = x + 1

What are the solutions to the equation 10z^2-37z=36 ?
The solutions to the equation 10z^2-37z=36 are z= 9/2 ,z=-4/5
Find the zeros of 10z^2-37z=36
The zeros of 10z^2-37z=36 are z= 9/2 ,z=-4/5