What are the solutions to the equation x^2-9/2 x-24/5 =0 ?

The solutions to the equation x^2-9/2 x-24/5 =0 are x=(45+sqrt(3945))/(20),x=(45-sqrt(3945))/(20)

Find the zeros of x^2-9/2 x-24/5 =0

The zeros of x^2-9/2 x-24/5 =0 are x=(45+sqrt(3945))/(20),x=(45-sqrt(3945))/(20)

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x^{2} - \frac{9}{2} x - \frac{24}{5} = 0

x = \frac{45 + 3945}{20}, x = \frac{45 - 3945}{20}

Solution steps

x^{2} - \frac{9}{2} x - \frac{24}{5} = 0

Find Least Common Multiplier of

2, 5 : 10

Multiply by LCM=

10

x^{2} \cdot 10 - \frac{9}{2} x \cdot 10 - \frac{24}{5} \cdot 10 = 0 \cdot 10

Simplify

10 x^{2} - 45 x - 48 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 45 ) \pm ( - 45 ) ^{2} - 4 \cdot 10 ( - 48 )}{2 \cdot 10}

(- 45)^{2} - 4 \cdot 10 (- 48) = 3945

x_{1, 2} = \frac{- ( - 45 ) \pm 3945}{2 \cdot 10}

Separate the solutions

x_{1} = \frac{- ( - 45 ) + 3945}{2 \cdot 10}, x_{2} = \frac{- ( - 45 ) - 3945}{2 \cdot 10}

x = \frac{- ( - 45 ) + 3945}{2 \cdot 10} : \frac{45 + 3945}{20}

x = \frac{- ( - 45 ) - 3945}{2 \cdot 10} : \frac{45 - 3945}{20}

The solutions to the quadratic equation are:

x = \frac{45 + 3945}{20}, x = \frac{45 - 3945}{20}

x, x^{2} + y^{2} - 4 x + 12 y + 40 = 0

r, (x - h)^{2} + (y - h)^{2} = r^{2}

4 x^{2} - 18 x + 18 = 0

6^{2} = x^{2} + 3^{2}

15 x^{2} - 15 = 0

What are the solutions to the equation x^2-9/2 x-24/5 =0 ?
The solutions to the equation x^2-9/2 x-24/5 =0 are x=(45+sqrt(3945))/(20),x=(45-sqrt(3945))/(20)
Find the zeros of x^2-9/2 x-24/5 =0
The zeros of x^2-9/2 x-24/5 =0 are x=(45+sqrt(3945))/(20),x=(45-sqrt(3945))/(20)