Advertisements
Advertisements
Question
Find the roots of the following quadratic equation by the factorisation method:
`2/5x^2 - x - 3/5 = 0`
Solution
Given equation is `2/5x^2 - x - 3/5` = 0
On multiplying by 5 on both sides, we get
2x2 – 5x – 3 = 0
⇒ 2x2 – (6x – x) – 3 = 0 ....[By splitting middle term]
⇒ 2x2 – 6x + x – 3 = 0
⇒ 2x(x – 3) + 1(x – 3) = 0
⇒ (x – 3)(2x + 1) = 0
Now, x – 3 = 0
⇒ x = 3
And 2x + 1 = 0
⇒ x = `-1/2`
Hence, the roots of the equation 2x2 – 5x – 3 = 0 are `- 1/2` and 3.
APPEARS IN
RELATED QUESTIONS
Solve for x : 12abx2 – (9a2 – 8b2 ) x – 6ab = 0
Solve the following quadratic equations by factorization:
`1/(x-2)+2/(x-1)=6/x` , x ≠ 0
Solve the following quadratic equations by factorization:
a2b2x2 + b2x - a2x - 1 = 0
A piece of cloth costs Rs. 35. If the piece were 4 m longer and each meter costs Rs. one less, the cost would remain unchanged. How long is the piece?
Solve the following quadratic equation by factorization:
`sqrt(6)x^2 - 4x - 2sqrt(6) = 0`
Solve the following equation: c
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)`
In each of the following determine whether the given values are solutions of the equation or not.
x2 + x + 1 = 0; x = 1, x = -1.
The hypotenuse of grassy land in the shape of a right triangle is 1 metre more than twice the shortest side. If the third side is 7 metres more than the shortest side, find the sides of the grassy land.
A person was given Rs. 3000 for a tour. If he extends his tour programme by 5 days, he must cut down his daily expenses by Rs. 20. Find the number of days of his tour programme.
