Advertisements
Advertisements
Question
In each of the following determine whether the given values are solutions of the equation or not.
9x2 - 3x - 2 = 0; x = `-(1)/(3), x = (2)/(3)`
Advertisements
Solution
Given equation is
9x2 - 3x - 2 = 0; x = `-(1)/(3), x = (2)/(3)`
Substitute x = `-(1)/(3)` in the L.H.S.
L.H.S. = `9(-1/3)^2 - 3 xx (-1/3) -2`
= `9 xx (1)/(9) + 1 - 2`
= 2 - 2
= 0
= R.H.S.
Hence, x = `-(1)/(3)` is a solution of the equation.
Again put x = `(2)/(3)`
L.H.S. = `9(2/3)^2 -3(2/3)-2`
= `9 xx (4)/(9) - 2 -2`
= 4 - 4
= 0
= R.H.S.
Hence, x = `(2)/(3)` is a solution of the equation.
RELATED QUESTIONS
Solve the following quadratic equations by factorization:
25x(x + 1) = -4
Solve the following quadratic equations by factorization:
`10x-1/x=3`
If the quadratic equation (c2 – ab) x2 – 2 (a2 – bc) x + b2 – ac = 0 in x, has equal roots, then show that either a = 0 or a3 + b3 + c3 = 3abc ?
Solve the following quadratic equation by factorisation.
7m2 = 21m
Solve the following equation:
`("x" + 1)/("x" - 1) - ("x" - 1)/("x" + 1) = 5/6 , "x" ≠ -1,1`
Solve equation using factorisation method:
x2 – (a + b)x + ab = 0
Solve the following quadratic equation by factorization method : `"x"^2 - 5"x" - 36 = 0`
Find the factors of the Polynomial 3x2 - 2x - 1.
Two years ago, a man’s age was three times the square of his daughter’s age. Three years hence, his age will be four times his daughter’s age. Find their present ages.
Which of the following are the roots of the quadratic equation, x2 – 9x + 20 = 0 by factorisation?
