Advertisements
Advertisements
प्रश्न
Solve the following equation by factorization
x(6x – 1) = 35
Advertisements
उत्तर
x(6x – 1) = 35
⇒ 6x2 - x - 35 = 0
⇒ 6x2 - 15x + 14x - 35 = 0
⇒ 3x (2x - 5) + 7 (2x - 5) = 0
⇒ (2x - 5) (3x + 7) = 0
Either 2x - 5 = 0,
then 2x = 5
⇒ x = `(5)/(2)`
or
3x + 7 = 0,
then 3x = -7
⇒ x = `(-7)/(3)`
Hence x = `(5)/(2), (-7)/(3)`.
APPEARS IN
संबंधित प्रश्न
Solve for x :
`3/(x+1)+4/(x-1)=29/(4x-1);x!=1,-1,1/4`
A two digit number is 4 times the sum of its digits and twice the product of its digits. Find the number.
A passenger train takes 2 hours less for a journey of 300 km if its speed is increased by 5 km/hr from its usual speed. Find the usual speed of the train.
Find two consecutive multiples of 3 whose product is 648.
Solve the following quadratic equations by factorization:
\[\frac{16}{x} - 1 = \frac{15}{x + 1}; x \neq 0, - 1\]
Solve equation using factorisation method:
2(x2 – 6) = 3(x – 4)
Solve equation using factorisation method:
4(2x – 3)2 – (2x – 3) – 14 = 0
In an auditorium, the number of rows are equal to the number of seats in each row.If the number of rows is doubled and number of seats in each row is reduced by 5, then the total number of seats is increased by 375. How many rows were there?
Two squares have sides A cm and (x + 4) cm. The sum of their areas is 656 sq. cm.Express this as an algebraic equation and solve it to find the sides of the squares.
4x2 – 9 = 0 implies x is equal to ______.
