Advertisements
Advertisements
प्रश्न
`2x^2+x-6=0`
उत्तर
We write, `x=4x-3x` as `2x^2xx(-6)=-12x^2=4xxx(-3x)`
`∴ 2x^2+x-6=0`
`⇒ 2x^2+4x-x-6=0 `
`⇒ 2x(x+2)-3(x+2)=0`
`⇒(x+2)(2x-3)=0`
`⇒x+2=0 or 2x-3=0`
`⇒x=-2 or x=3/2`
Hence, the roots of the given equation are `-2 and 3/2`
APPEARS IN
संबंधित प्रश्न
In the following, determine whether the given quadratic equation have real roots and if so, find the roots:
3a2x2 + 8abx + 4b2 = 0, a ≠ 0
`sqrt2x^2+7+5sqrt2=0`
`sqrt3x^2-2sqrt2x-2sqrt3=0`
`4sqrt3x^2+5x-2sqrt3=0`
`2sqrt3x^2-5x+sqrt3=0`
`x^2+5x-(a^+a-6)=0`
If -4 is a root of the equation `x^2+2x+4p=0` find the value of k for the which the quadratic equation ` x^2+px(1+3k)+7(3+2k)=0` has equal roots.
Find the values of k for which the given quadratic equation has real and distinct roots:
`kx^2+6x+1=0`
Find the values of k for which the given quadratic equation has real and distinct roots:
`x^2-kx+9=0`
A two-digit number is 4 times the sum of its digits and twice the product of digits. Find the number.