Advertisements
Advertisements
Question
Solve the following quadratic equations by factorization:
5x2 - 3x - 2 = 0
Advertisements
Solution
We have been given
5x2 - 3x - 2 = 0
5x2 - 5x + 2x - 2 = 0
5x(x - 1) + 2(x - 1) = 0
(5x + 2)(x - 1) = 0
Therefore,
5x + 2 = 0
5x = -2
x = -2/5
or,
x - 1 = 0
x = 1
Hence, x = -2/5 or x = 1.
APPEARS IN
RELATED QUESTIONS
Solve the following quadratic equations by factorization:
`(x+3)/(x+2)=(3x-7)/(2x-3)`
Solve the following quadratic equations by factorization:
`1/(x-2)+2/(x-1)=6/x` , x ≠ 0
Solve the following quadratic equations by factorization:
`(x-a)/(x-b)+(x-b)/(x-a)=a/b+b/a`
Divide 29 into two parts so that the sum of the squares of the parts is 425.
A two digit number is such that the product of the digits is 16. When 54 is subtracted from the number the digits are interchanged. Find the number
For the equation given below, find the value of ‘m’ so that the equation has equal roots. Also, find the solution of the equation:
(m – 3)x2 – 4x + 1 = 0
Solve each of the following equations by factorization:
`9/2x=5+x^2`
Divide 57 into two parts whose product is 680.
Solve the following equation: 2x2 - 3x - 9=0
Solve the following equation: a2x2 - 3abx + 2b2 = 0
Solve the following equation: 4x2 + 4 bx - (a2 - b2) = 0
The present age of the mother is square of her daughter's present age. 4 years hence, she will be 4 times as old as her daughter. Find their present ages.
Solve equation using factorisation method:
x(x – 5) = 24
A car covers a distance of 400 km at a certain speed. Had the speed been 12 km/hr more, the time taken for the journey would have been 1 hour 40 minutes less. Find the original speed of the car.
Solve the following quadratic equation by factorisation:
(x - 4) (x + 2) = 0
In each of the following, determine whether the given values are solution of the given equation or not:
x2 + x + 1 = 0; x = 0; x = 1
Solve the following equation by factorization
2x2 – 9x + 10 = 0,when x∈Q
Solve the following equation by factorization
`3x - (8)/x `= 2
Forty years hence, Mr. Pratap’s age will be the square of what it was 32 years ago. Find his present age.
If x = –2 is the common solution of quadratic equations ax2 + x – 3a = 0 and x2 + bx + b = 0, then find the value of a2b.
