Advertisements
Advertisements
Question
Solve the following quadratic equations by factorization:
(2x + 3)(3x − 7) = 0
Advertisements
Solution
We have,
(2x + 3)(3x − 7) = 0
⇒ (2x + 3) = 0 or (3x − 7) = 0
⇒ 2x = -3 or 3x = 7
⇒ x = -3/2 or x = 7/3
Thus, x = -3/2 and x = 7/3 are two roots of the equation (2x + 3)(3x − 7) = 0
APPEARS IN
RELATED QUESTIONS
Solve the following quadratic equations by factorization:
`(x+1)/(x-1)-(x-1)/(x+1)=5/6` , x ≠ 1, x ≠ -1
The sum of two numbers is 18. The sum of their reciprocals is 1/4. Find the numbers.
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
Without solving the following quadratic equation Find the value of p for which the roots are equal
`px^2 - 4x + 3 = 0`
Solve the following quadratic equations by factorization:
`x^2 – (a + b) x + ab = 0`
Solve the following quadratic equations by factorization:
`5/(x - 2) - 3/(x + 6) = 4/x`
Find k if x = 3 is a root of equation kx2 – 10x + 3 = 0.
Solve the following quadratic equations by factorization:
\[9 x^2 - 6 b^2 x - \left( a^4 - b^4 \right) = 0\]
The positive value of k for which the equation x2 + kx + 64 = 0 and x2 − 8x + k = 0 will both have real roots, is
Solve the following equation: `"x"^2 - ( sqrt 2 + 1) "x" + sqrt 2 = 0 `
The area of the isosceles triangle is 60 cm2, and the length of each one of its equal side is 13cm. Find its base.
Solve equation using factorisation method:
2x2 – 9x + 10 = 0, when:
- x ∈ N
- x ∈ Q
Divide 29 into two parts so that the sum of the square of the parts is 425.
The speed of an express train is x km/hr arid the speed of an ordinary train is 12 km/hr less than that of the express train. If the ordinary train takes one hour longer than the express train to cover a distance of 240 km, find the speed of the express train.
In each of the following determine whether the given values are solutions of the equation or not
2x2 - 6x + 3 = 0; x = `(1)/(2)`
Solve the following equation by factorization
3x2 – 5x – 12 = 0
Solve the following equation by factorization
`(x + 2)/(x + 3) = (2x - 3)/(3x - 7)`
Find two consecutive integers such that the sum of their squares is 61
Find two consecutive odd integers such that the sum of their squares is 394.
Two pipes running together can fill a tank in `11(1)/(9)` minutes. If one pipe takes 5 minutes more than the other to fill the tank, find the time in which each pipe would/fill the tank.
