Advertisements
Advertisements
प्रश्न
Solve the following quadratic equation by factorisation:
x2 - 3x - 10 = 0
उत्तर
x2 - 3x - 10 = 0
⇒ x2 - 5x + 2x - 10 = 0
⇒ x(x - 5) + 2(x - 5) = 0
⇒ (x - 5) (x + 2) = 0
⇒ x - 5 = 0 or x + 2 = 0
⇒ x = 5 and x = -2
APPEARS IN
संबंधित प्रश्न
Solve for x :
`3/(x+1)+4/(x-1)=29/(4x-1);x!=1,-1,1/4`
A pole has to be erected at a point on the boundary of a circular park of diameter 13 meters in such a way that the difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 meters. Is it the possible to do so? If yes, at what distances from the two gates should the pole be erected?
Determine whether the values given against the quadratic equation are the roots of the equation.
2m2 – 5m = 0, m = 2, `5/2`
Solve the following quadratic equation by factorisation.
7m2 = 21m
Find the discriminant of the quadratic equation \[3\sqrt{3} x^2 + 10x + \sqrt{3} = 0\].
Solve the following equation: `"x"^2 - ( sqrt 2 + 1) "x" + sqrt 2 = 0 `
The sum of a number and its reciprocal is `2 9/40`. Find the number.
Solve the following equation by factorization
(x – 3) (2x + 5) = 0
A two digit positive number is such that the product of its digits is 6. If 9 is added to the number, the digits interchange their places. Find the number.
Divide 16 into two parts such that the twice the square of the larger part exceeds the square of the smaller part by 164.