Advertisements
Advertisements
प्रश्न
Solve the following equation: 4x2 - 13x - 12 = 0
उत्तर
4x2 - 13x - 12 = 0
`"x"^2 - 13/4 "x" - 3 = 0`
`"x"^2 - 4"x" + 3/4"x" -3 = 0`
`"x"("x" - 4) + 3/4("x" - 4) = 0`
`("x" - 4)("x" + 3/4) = 0`
(x - 4) = 0 , `("x" + 3/4) = 0`
x = 4 , x = `-3/4`
APPEARS IN
संबंधित प्रश्न
The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.
Find the consecutive even integers whose squares have the sum 340.
The speed of a boat in still water is 8 km/hr. It can go 15 km upstream and 22 km downstream in 5 hours. Find the speed of the stream.
The sum of ages of a man and his son is 45 years. Five years ago, the product of their ages was four times the man's age at the time. Find their present ages.
The sum of the squares to two consecutive positive odd numbers is 514. Find the numbers.
Find two consecutive positive even integers whose squares have the sum 340.
Rs. 480 is divided equally among ‘x’ children. If the number of children were 20 more then each would have got Rs. 12 less. Find ‘x’.
Solve the following quadratic equation by factorisation:
(2x + 3) (3x - 7) = 0
Solve the following equation by factorization
`a/(ax - 1) + b/(bx - 1) = a + b, a + b ≠ 0, ab ≠ 0`
2x articles cost Rs. (5x + 54) and (x + 2) similar articles cost Rs. (10x – 4), find x.