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

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

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

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

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

x = \frac{3}{4}

Decimal Notation

x = 0.75

Solution steps

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

Find Least Common Multiplier of

2, 16 : 16

Multiply by LCM=

16

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

Simplify

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

Solve with the quadratic formula

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

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

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

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

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

x = \frac{3}{4}

The solution to the quadratic equation is:

x = \frac{3}{4}

4 - y^{4}

12 x^{2} + 50 x + 48

x + 13 \geq 5

x^{2} + 3 x - 1341.75 = 0

(x + 7)^{2} = 49

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