Advertisements
Advertisements
प्रश्न
Solve the quadratic equation by factorisation method:
x2 – 15x + 54 = 0
उत्तर
x2 – 15x + 54 = 0
∴ x2 – 9x – 6x + 54 = 0
∴ x(x – 9) – 6(x – 9) = 0
∴ (x – 9) (x – 6) = 0
∴ x – 9 = 0 or x – 6 = 0
∴ x = 9 or x = 6
∴ The roots of the given quadratic equation are 9 and 6.
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equation for x:
`x^2+(a/(a+b)+(a+b)/a)x+1=0`
Find the consecutive even integers whose squares have the sum 340.
Three consecutive positive integers are such that the sum of the square of the first and the product of other two is 46, find the integers.
Without solving the following quadratic equation Find the value of p for which the roots are equal
`px^2 - 4x + 3 = 0`
Solve the following quadratic equations by factorization:
`100/x-100/(x+5)=1`
Solve the following quadratic equations by factorization:
`4/(x+2)-1/(x+3)=4/(2x+1)`
The sum of the squares of two consecutive multiples of 7 is 637. Find the multiples ?
Solve the following equation: a2b2x2 + b2x - a2x - 1 = 0
Solve equation using factorisation method:
`(x - 3)/(x + 3) + (x + 3)/(x - 3) = 2 1/2`
A car covers a distance of 400 km at a certain speed. Had the speed been 12 km/hr more, the time taken for the journey would have been 1 hour 40 minutes less. Find the original speed of the car.
Solve the following quadratic equation by factorisation:
(2x + 3) (3x - 7) = 0
Solve the following quadratic equation by factorisation:
x2 - 3x - 10 = 0
Solve the following equation by factorization
`(2)/(3)x^2 - (1)/(3)x` = 1
Solve the following equation by factorization
`(8)/(x + 3) - (3)/(2 - x)` = 2
A rectangular garden 10 m by 16 m is to be surrounded by a concrete walk of uniform width. Given that the area of the walk is 120 square metres, assuming the width of the walk to be x, form an equation in x and solve it to find the value of x.
Mohini wishes to fit three rods together in the shape of a right triangle. If the hypotenuse is 2 cm longer than the base and 4 cm longer than the shortest side, find the lengths of the rods.
Solve the following equation by factorisation :
2x2 + ax – a2= 0
The speed of a boat in still water is 11 km/ hr. It can go 12 km up-stream and return downstream to the original point in 2 hours 45 minutes. Find the speed of the stream
Which of the following are the roots of the quadratic equation, x2 – 9x + 20 = 0 by factorisation?
For quadratic equation `2x + 5/x = 5` :
