Answer:
(x-¾)² = 49/16
Step-by-step explanation:
0 = 2x² - 3x - 5
2x² - 3x = 5
Divide by the leading coefficient
x²-(3/2)x = 5/2
Complete the square
coefficient of the x term: 3/2
divide coefficient in half: ¾
square it: (¾)²
add (¾)² to both sides to complete the square and keep the equation balanced:
x²-(3/2)x + (¾)² = 5/2 + (¾)²
(x-¾)² = 49/16
If you need to solve for x:
x-¾ = ±√(49/16) = ±7/4
x = 5/2, -1
