Practicing Success
If x2 - 5x + 25 = 0 Find the value of x5 - 5x4 - 3102 |
25 25\(\sqrt {2}\) 25\(\sqrt {3}\) 23 |
23 |
Formula → (a3 + b3) = (a + b) (a2 + b2 - ab) x3 + 53 = (x + 5) (x2 - 5x + 25) x3 + 53 = (x + 5) (0) x3 = - 53 Now → x5 - 5x4 - 3102 ⇒ x3 (x2 - 5x) - 3102 ⇒ (-125) (-25) - 3102 (x2 - 5x +25 = 0⇒ x2 - 5x = -25)... (given) = 3125 - 3102 = 23 |