Advertisements
Advertisements
Question
Find the roots of the quadratic equation x2 – x – 2 = 0.
Advertisements
Solution
Given quadratic equation is x2 – x – 2 = 0
`\implies` x2 – x – 2 = 0
`\implies` x2 – 2x + x – 2 = 0
`\implies` x(x – 2) + 1(x – 2) = 0
`\implies` (x – 2)(x + 1) = 0
`\implies` x = 2, –1
So, the roots are –1, 2.
APPEARS IN
RELATED QUESTIONS
Solve the following quadratic equation by Factorisation method: x2 + 7x + 10 = 0
Solve the following quadratic equation by factorization method: 9x2-25 = 0
If two pipes function simultaneously, a reservoir will be filled in 12 hours. One pipe fills the reservoir 10 hours faster than the other. How many hours will the second pipe take to fill the reservoir?
Find two consecutive multiples of 3 whose product is 648.
Solve the following equation :
`sqrt 2 "x"^2 - 3"x" - 2 sqrt 2 = 0`
Solve the following equation:
`(x - 1)/(2x + 1) + (2x + 1)/(x - 1) = 5/2 , x ≠-1/2`
The hypotenuse of a grassy land in the shape of a right triangle is 1 m more than twice the shortest side. If the third side is 7m more than the shortest side, find the sides of the grassy land.
Solve the following by reducing them to quadratic form:
`sqrt(x^2 - 16) - (x - 4) = sqrt(x^2 - 5x + 4)`.
Solve the following equation by factorization
(x – 4)2 + 52 = 132
Find the values of x if p + 1 =0 and x2 + px – 6 = 0
