What are the solutions to the equation 5z^2-8(-3)z-46z+5(-3)^2+30(-3)+62=0 ?

The solutions to the equation 5z^2-8(-3)z-46z+5(-3)^2+30(-3)+62=0 are z= 17/5 ,z=1

Find the zeros of 5z^2-8(-3)z-46z+5(-3)^2+30(-3)+62=0

The zeros of 5z^2-8(-3)z-46z+5(-3)^2+30(-3)+62=0 are z= 17/5 ,z=1

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5 z^{2} - 8 (- 3) z - 46 z + 5 (- 3)^{2} + 30 (- 3) + 62 = 0

z = \frac{17}{5}, z = 1

Decimal Notation

z = 3.4, z = 1

Solution steps

5 z^{2} - 8 (- 3) z - 46 z + 5 (- 3)^{2} + 30 (- 3) + 62 = 0

Expand

5 z^{2} - 8 (- 3) z - 46 z + 5 (- 3)^{2} + 30 (- 3) + 62 : 5 z^{2} - 22 z + 17

5 z^{2} - 22 z + 17 = 0

Solve with the quadratic formula

z_{1, 2} = \frac{- ( - 22 ) \pm ( - 22 ) ^{2} - 4 \cdot 5 \cdot 17}{2 \cdot 5}

(- 22)^{2} - 4 \cdot 5 \cdot 17 = 12

z_{1, 2} = \frac{- ( - 22 ) \pm 12}{2 \cdot 5}

Separate the solutions

z_{1} = \frac{- ( - 22 ) + 12}{2 \cdot 5}, z_{2} = \frac{- ( - 22 ) - 12}{2 \cdot 5}

z = \frac{- ( - 22 ) + 12}{2 \cdot 5} : \frac{17}{5}

z = \frac{- ( - 22 ) - 12}{2 \cdot 5} : 1

The solutions to the quadratic equation are:

z = \frac{17}{5}, z = 1

x^{2} + 5 x = 40

5 x^{2} + 2 x - 16 = 0

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

x^{2} - x (b - a) = (a + x) (b - x)

- 8 x^{2} = - 800

What are the solutions to the equation 5z^2-8(-3)z-46z+5(-3)^2+30(-3)+62=0 ?
The solutions to the equation 5z^2-8(-3)z-46z+5(-3)^2+30(-3)+62=0 are z= 17/5 ,z=1
Find the zeros of 5z^2-8(-3)z-46z+5(-3)^2+30(-3)+62=0
The zeros of 5z^2-8(-3)z-46z+5(-3)^2+30(-3)+62=0 are z= 17/5 ,z=1