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 equation for x:
`x^2+(a/(a+b)+(a+b)/a)x+1=0`
Find the two consecutive natural numbers whose product is 20.
Solve:
`1/p + 1/q + 1/x = 1/(x + p + q)`
Solve each of the following equations by factorization:
`2x^2-1/2x=0`
Solve each of the following equations by factorization :
`6/x=1+x`
Solve the following equation: `("x" + 3)/("x" + 2) = (3"x" - 7)/(2"x" - 3)`
The length of the sides forming a right angle in a triangle are 5x cm and (3x-1) cm. If the area of the triangle is 60cm2, find the hypotenuse.
Solve the following equation by factorization
x (2x + 1) = 6
Use the substitution y = 3x + 1 to solve for x : 5(3x + 1 )2 + 6(3x + 1) – 8 = 0
Paul is x years old and his father’s age is twice the square of Paul’s age. Ten years hence, the father’s age will be four times Paul’s age. Find their present ages.
