Advertisements
Advertisements
प्रश्न
Find the roots of the following quadratic equation by factorisation:
x2 – 3x – 10 = 0
Advertisements
उत्तर
x2 – 3x – 10
= x2 - 5x + 2x - 10
= x(x - 5) + 2(x - 5)
= (x - 5)(x + 2)
Roots of this equation are the values for which (x - 5)(x + 2) = 0
⇒ x = 5 or x = -2
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
x2 + 2ab = (2a + b)x
Find the consecutive even integers whose squares have the sum 340.
A two-digit number is such that the products of its digits is 8. When 18 is subtracted from the number, the digits interchange their places. Find the number?
A fast train takes one hour less than a slow train for a journey of 200 km. If the speed of the slow train is 10 km/hr less than that of the fast train, find the speed of the two trains.
Solve the following quadratic equations by factorization:
`(x + 3)^2 – 4(x + 3) – 5 = 0 `
`2x^2+5x-3=0`
Solve the following quadratic equation for x:
`4sqrt3x^3+5x-2sqrt3=0`
Solve the following quadratic equation by factorisation.
x2 + x – 20 = 0
Solve the following quadratic equations by factorization: \[\frac{3}{x + 1} + \frac{4}{x - 1} = \frac{29}{4x - 1}; x \neq 1, - 1, \frac{1}{4}\]
Solve the following quadratic equations by factorization: \[\frac{x + 1}{x - 1} + \frac{x - 2}{x + 2} = 4 - \frac{2x + 3}{x - 2}; x \neq 1, - 2, 2\]
If −5 is a root of the quadratic equation\[2 x^2 + px - 15 = 0\] and the quadratic equation \[p( x^2 + x) + k = 0\] has equal roots, find the value of k.
If 2 is a root of the quadratic equation \[3 x^2 + px - 8 = 0\] and the quadratic equation \[4 x^2 - 2px + k = 0\] has equal roots, find the value of k.
If one root the equation 2x2 + kx + 4 = 0 is 2, then the other root is
Solve the Following Equation : x2- x - a (a + 1) = o
The sum of the square of 2 consecutive odd positive integers is 290.Find them.
Solve (x2 + 3x)2 - (x2 + 3x) -6 = 0.
Solve the following equation by factorization
`(2)/(x^2) - (5)/x + 2 = 0, x ≠ 0`
If x = p is a solution of the equation x(2x + 5) = 3, then find the value of p.
If the product of two positive consecutive even integers is 288, find the integers.
Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the given number.
