Advertisements
Advertisements
प्रश्न
Solve the following equation by factorisation :
2x2 + ax – a2= 0
Advertisements
उत्तर
2x2 + ax – a2= 0
⇒ 2x2 + 2ax – ax – a2 = 0
⇒ 2x(x + a) –a(x + a) = 0
⇒ (x + a)(2x – a) = 0
Either x + a = 0,
then x = -a
or
2x – a = 0,
then 2x = a
⇒ x = `a/(2)`
Hence x = –a, `a/(2)`.
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equation by factorization method: 9x2-25 = 0
Determine two consecutive multiples of 3, whose product is 270.
Solve:
`1/(x + 1) - 2/(x + 2) = 3/(x + 3) - 4/(x + 4)`
Factorise : m2 + 5m + 6.
Solve the following equation: `("x" + 3)/("x" + 2) = (3"x" - 7)/(2"x" - 3)`
In each of the following determine whether the given values are solutions of the equation or not.
6x2 - x - 2 = 0; x = `-(1)/(2), x = (2)/(3)`
In each of the following determine whether the given values are solutions of the equation or not.
9x2 - 3x - 2 = 0; x = `-(1)/(3), x = (2)/(3)`
A farmer wishes to grow a 100 m2 rectangular vegetable garden. Since he has with him only 30 m barbed wire, he fences three sides of the rectangular garden letting compound wall of his house act as the fourth side fence. Find the dimensions of his garden.
Find the roots of the following quadratic equation by the factorisation method:
`3x^2 + 5sqrt(5)x - 10 = 0`
Solve the quadratic equation: x2 – 2ax + (a2 – b2) = 0 for x.
