Advertisements
Advertisements
Question
In each of the following determine whether the given values are solutions of the equation or not.
3x2 - 2x - 1 = 0; x = 1
Advertisements
Solution
Given equation is
3x2 - 2x - 1 = 0; x = 1
Put x = 1 in the L.H.S.
L.H.S. = 3(1)2 - 2 x 1 - 1
= 3 - 3
= 0
= R.H.S.
Hence, x = 1 is a solution of the given equation.
RELATED QUESTIONS
Find the roots of the following quadratic equation by factorisation:
2x2 + x – 6 = 0
Solve the following quadratic equations by factorization:
`1/(x - 1) - 1/(x + 5) = 6/7, x ≠ 1, -5`
The sum of the squares of three consecutive natural numbers as 149. Find the numbers
One of the roots of equation 5m2 + 2m + k = 0 is `(-7)/5` Complete the following activity to find the value of 'k'.
A two digit number is such that the product of the digits is 12. When 36 is added to this number the digits interchange their places. Determine the number.
Solve the following equation by factorization.
a2x2 + 2ax + 1 = 0, a ≠ 0
Solve the following equation by factorization
`(x + 2)/(x + 3) = (2x - 3)/(3x - 7)`
Harish made a rectangular garden, with its length 5 metres more than its width. The next year, he increased the length by 3 metres and decreased the width by 2 metres. If the area of the second garden was 119 sq m, was the second garden larger or smaller ?
If twice the area of a smaller square is subtracted from the area of a larger square, the result is 14 cm2. However, if twice the area of the larger square is added to three times the area of the smaller square, the result is 203 cm2. Determine the sides of the two squares.
Solve the following equation by factorisation :
3x2 + 11x + 10 = 0
