What are the solutions to the equation 8a^2=17a ?

The solutions to the equation 8a^2=17a are a=0,a= 17/8

Find the zeros of 8a^2=17a

The zeros of 8a^2=17a are a=0,a= 17/8

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8 a^{2} = 17 a

a = 0, a = \frac{17}{8}

Decimal Notation

a = 0, a = 2.125

Solution steps

8 a^{2} = 17 a

Move

17 a

to the left side

8 a^{2} - 17 a = 0

Factor

8 a^{2} - 17 a : a (8 a - 17)

a (8 a - 17) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

a = 0 or 8 a - 17 = 0

Solve

8 a - 17 = 0 : a = \frac{17}{8}

The solutions to the quadratic equation are:

a = 0, a = \frac{17}{8}

x^{2} - 9 x + \frac{81}{4} = 0

a^{2} - 16 = 32

(3 x + 2)^{2} = 49

2 y (8 y + 3) = 1

0 = 5 - \frac{1}{2} x^{2}

What are the solutions to the equation 8a^2=17a ?
The solutions to the equation 8a^2=17a are a=0,a= 17/8
Find the zeros of 8a^2=17a
The zeros of 8a^2=17a are a=0,a= 17/8