Question

What constant term should be added to both sides to complete the square on the left side?

x^2 - 3/4x + _____ = 10

Answer 1

• 9/64

Explanation:

Given

• x² - 3/4x + _____ = 10

Need to complete square on the left side of equation

The square should be in the form of:

• (a + b)² = a² + 2ab + b²

We see a = x therefore

• 2b = -3/4, so
• b = -3/8 and
• b² = (-3/8)² = 9/64

So the missing constant term is 9/64