Advertisements
Advertisements
प्रश्न
Solve the following quadratic equations by factorization:
(x − 4) (x + 2) = 0
Advertisements
उत्तर
We have
(x − 4) (x + 2) = 0
either
⇒ (x − 4) = 0 or (x + 2) = 0
⇒ x = 4 or x = -2
Thus, x = 4 and x = -2 are two roots of the equation (x − 4) (x + 2) = 0
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
a(x2 + 1) - x(a2 + 1) = 0
Divide 29 into two parts so that the sum of the squares of the parts is 425.
The sum of two numbers is 8 and 15 times the sum of their reciprocals is also 8. Find the numbers.
The time taken by a person to cover 150 km was 2.5 hrs more than the time taken in the return journey. If he returned at a speed of 10 km/hr more than the speed of going, what was the speed per hour in each direction?
Determine whether the values given against the quadratic equation are the roots of the equation.
x2 + 4x – 5 = 0 , x = 1, –1
Find k if x = 3 is a root of equation kx2 – 10x + 3 = 0.
Solve the following quadratic equations by factorization: \[\frac{5 + x}{5 - x} - \frac{5 - x}{5 + x} = 3\frac{3}{4}; x \neq 5, - 5\]
A quadratic equation whose one root is 2 and the sum of whose roots is zero, is ______.
Solve the following equation: `("x" + 3)/("x" + 2) = (3"x" - 7)/(2"x" - 3)`
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 the equation using the factorisation method:
`(3x -2)/(2x -3) = (3x - 8)/(x + 4)`
Solve the following equation and give your answer up to two decimal places:
x2 − 5x − 10 = 0
Solve the equation 2x `-(1)/x` = 7. Write your answer correct to two decimal places.
By increasing the speed of a car by 10 km/hr, the time of journey for a distance of 72 km. is reduced by 36 minutes. Find the original speed of the car.
Some students planned a picnic. The budget for the food was Rs. 480. As eight of them failed to join the party, the cost of the food for each member increased by Rs. 10. Find how many students went for the picnic.
In each of the following determine whether the given values are solutions of the equation or not
2x2 - 6x + 3 = 0; x = `(1)/(2)`
In each of the following, determine whether the given values are solution of the given equation or not:
`x = 1/x = (13)/(6), x = (5)/(6), x = (4)/(3)`
The length of a rectangle exceeds its breadth by 5 m. If the breadth were doubled and the length reduced by 9 m, the area of the rectangle would have increased by 140 m². Find its dimensions.
Solve the following quadratic equation by factorization method.
3p2 + 8p + 5 = 0
