Question

Which is a solution of x2 – x – StartFraction 3 Over 4 EndFraction = 0?

Answer 1

Answer:

3/2

Step-by-step explanation:

Answer 2

Answer:

x = - $\frac{1}{2}$, x = $\frac{3}{2}$

Step-by-step explanation:

Given

x² - x - $\frac{3}{4}$ = 0 ( add $\frac{3}{4}$ to both sides )

x² - x = $\frac{3}{4}$

Solve using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2( - $\frac{1}{2}$ )x + $\frac{1}{4}$ = $\frac{3}{4}$ + $\frac{1}{4}$

(x - $\frac{1}{2}$ )² = 1 ( take the square root of both sides )

x - $\frac{1}{2}$ = ± 1 ( add $\frac{1}{2}$ to both sides )

x = $\frac{1}{2}$ ± 1

Thus

x = $\frac{1}{2}$ - 1 = - $\frac{1}{2}$

x = $\frac{1}{2}$ + 1 = $\frac{3}{2}$