Question

Find the roots of 4x^2​​​​​​​ -9x = 100

Answer 1

4 x² - 9x = 100

⇒ 4x² - 9x - 100 = 0

⇒ 4x² - 25x + 16x - 100 = 0

⇒x ( 4x - 25 ) + 4 (4x - 25 ) = 0

⇒ ( 4x - 25 ) ( x + 4 ) = 0

⇒ ( 4x - 25 ) = 0  or ( x + 4 ) = 0

⇒  4x = 25 or x = - 4

⇒ x= 25/ 4 , (- 4)

∴ roots of x = 25/4 , ( - 4 )