What are the solutions to the equation z^2-3/2 z+9/16 =0 ?

The solutions to the equation z^2-3/2 z+9/16 =0 are z= 3/4

Find the zeros of z^2-3/2 z+9/16 =0

The zeros of z^2-3/2 z+9/16 =0 are z= 3/4

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z^{2} - \frac{3}{2} z + \frac{9}{16} = 0

z = \frac{3}{4}

Solution steps

z^{2} - \frac{3}{2} z + \frac{9}{16} = 0

Find Least Common Multiplier of

2, 16 : 16

Multiply by LCM=

16

z^{2} \cdot 16 - \frac{3}{2} z \cdot 16 + \frac{9}{16} \cdot 16 = 0 \cdot 16

Simplify

16 z^{2} - 24 z + 9 = 0

Solve with the quadratic formula

z_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 \cdot 16 \cdot 9}{2 \cdot 16}

(- 24)^{2} - 4 \cdot 16 \cdot 9 = 0

z_{1, 2} = \frac{- ( - 24 ) \pm 0}{2 \cdot 16}

z = \frac{- ( - 24 )}{2 \cdot 16}

\frac{- ( - 24 )}{2 \cdot 16} = \frac{3}{4}

z = \frac{3}{4}

The solution to the quadratic equation is:

z = \frac{3}{4}

2 (x + 1)^{2} + 6 = 134

5 m^{2} + 20 m + 40

8 a^{3} + 4 a

6 x + 35 = - 6 x - 35

(8 - 3 i)^{2}

What are the solutions to the equation z^2-3/2 z+9/16 =0 ?
The solutions to the equation z^2-3/2 z+9/16 =0 are z= 3/4
Find the zeros of z^2-3/2 z+9/16 =0
The zeros of z^2-3/2 z+9/16 =0 are z= 3/4