Question

Determine the value of a if one solution to the quadratic equation is x equals 5 + 3/2 I

Answer 1

The value of a is $\frac{-9}{4}$

Step-by-step explanation:

1. Determine the other solution of x

If one value is 5 + $\frac{3}{2}$ then the other value is 5 - $\frac{3}{2}$

2. Use reverse technique to find the equation

(5 + $\frac{3}{2}$) (5 - $\frac{3}{2}$) = 0

25 - $\frac{-15}{2}$ + $\frac{15}{2}$ - $\frac{9x^{2} }{4}$ = 0

- $\frac{9x^{2} }{4}$ + 25 = 0

3. The equation is - $\frac{9x^{2} }{4}$ + 25 = 0

4. Find the value of a

a is the number with the variable $x^{2}$ therefore it is - $\frac{9}{4}$

Keyword: quadratic equation, solution

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