Question

How do you solve √76x=49x−6?

Answer 1

Q.) √76 x = 49x - 6

Solution :-

x√76 = 49x - 6

=> x√ 2 x 2 x 19 = 49x - 6

=> 2x√19 - 49x = -6

Multiplying by -1 to both sides , we get

=> 49x - 2x√19 = 6

=> x(49 - 2√19) = 6

=> x = 6 / (49 - 2√19)

=> x = (6)(49 + 2√19) / (49 - 2√19)(49 + 2√19)

=> x = (6)(49 + 2√19) / (49)² - (2√19)²

=> x = (294 + 12√19) / 2401 - 76

=> x = (294 + 12√19) / 2325