Question

determine nature of quadratic eq x minus two a into x minus two b is equal to four a b​

Answer 1

Answer:

(x - 2a ) (x - 2b) = 4ab

x² - 2bx - 2ax + 4ab = 4ab

x² - 2bx - 2ax = 0

x² - 2x ( b - a ) = 0

here ,

• a = 1
• b = 2(b - a)
• c = 0

______________________

D = b² - 4ac

D = {2(b-a)}² - 0

Answer 2

Answer:

Given:

→ $\sf{(x - 2a ) \: (x - 2b) = 4ab}$

Find:

→ Determine nature of quadratic equation.

Calculations:

→ $\sf{(x - 2a) \: (x - 2b) = 4ab}$

→ $\sf{x^{2} - 2bx - 2ax + 4ab = 4ab}$

→ $\sf{x^{2} - 2bx - 2ax = 0}$

→ $\sf{x^{2} - 2x (b - a) = 0}$

Note:

→ ${\sf{\boxed{\boxed{\boxed{\green{\sf{Discriminant = b^{2} - 4ac}}}}}}}$

→ ${\sf{\boxed{\boxed{\boxed{\green{\sf{Discriminant = [2(b-a)]^{2} - 0}}}}}}}$