What are the solutions to the equation factor 5z^2=17z-14 ?

The solutions to the equation factor 5z^2=17z-14 are z= 7/5 ,z=2

Find the zeros of factor 5z^2=17z-14

The zeros of factor 5z^2=17z-14 are z= 7/5 ,z=2

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5 z^{2} = 17 z - 14

z = \frac{7}{5}, z = 2

Decimal Notation

z = 1.4, z = 2

Solution steps

5 z^{2} = 17 z - 14

Move

14

to the left side

5 z^{2} + 14 = 17 z

Move

17 z

to the left side

5 z^{2} + 14 - 17 z = 0

Write in the standard form

a x^{2} + b x + c = 0

5 z^{2} - 17 z + 14 = 0

Factor

5 z^{2} - 17 z + 14 : (5 z - 7) (z - 2)

(5 z - 7) (z - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

5 z - 7 = 0 or z - 2 = 0

Solve

5 z - 7 = 0 : z = \frac{7}{5}

Solve

z - 2 = 0 : z = 2

The solutions to the quadratic equation are:

z = \frac{7}{5}, z = 2

54000 = - 0.6 x^{2} + 360 x

(x + 1)^{2} - 7 = 0

7 x^{2} + x - 30 = 0

3 x^{2} + 4 x - 1 = 0

x^{2} - 28 x + 160 = 0

What are the solutions to the equation factor 5z^2=17z-14 ?
The solutions to the equation factor 5z^2=17z-14 are z= 7/5 ,z=2
Find the zeros of factor 5z^2=17z-14
The zeros of factor 5z^2=17z-14 are z= 7/5 ,z=2