Advertisements
Advertisements
प्रश्न
Solve the following equation by factorization
6p2+ 11p – 10 = 0
Advertisements
उत्तर
6p2+ 11p – 10 = 0
⇒ 6p2 + 15p – 4p – 10 = 0
⇒ 3p(2p + 5) – 2(2p + 5) = 0
(2p + 5) (3p - 2) = 0
Either 2p + 5 = 0, then 2p = -5 ⇒ p = `(-5)/(2)`
or 3p - 2 = 0, then 3p = 2 ⇒ p = `(2)/(3)`
Hence p = `(-5)/(2), (2)/(3)`.
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
`(x+1)/(x-1)-(x-1)/(x+1)=5/6` , x ≠ 1, x ≠ -1
Find the whole numbers which when decreased by 20 is equal to 69 times the reciprocal of the members.
Solve the following quadratic equations by factorization:
`(1 + 1/(x + 1))(1 - 1/(x - 1)) = 7/8`
Find the values of k for which the roots are real and equal in each of the following equation:\[px(x - 3) + 9 = 0\]
There is a square field whose side is 44m. A square flower bed is prepared in its centre leaving a gravel path all round the flower bed. The total cost of laying the flower bed and graving the path at Rs 2. 75 and Rs. 1.5 per square metre, respectively, is Rs 4,904. Find the width of the gravel path.
The side (in cm) of a triangle containing the right angle are 5x and 3x – 1. If the area of the triangle is 60 cm². Find the sides of the triangle.
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.
Solve the following equation by factorization
(x – 3) (2x + 5) = 0
Find two consecutive integers such that the sum of their squares is 61
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.
