Advertisements
Advertisements
Question
Solve the following equation by factorisation :
x2 + 6x – 16 = 0
Solution
x2 + 6x – 16 = 0
⇒ x2 + 8x – 2x – 16 = 0
⇒ x(x + 8) – 2(x + 8) = 0
⇒ (x + 8)(x - 2) = 0
Either x + 8 = 0,
then x = –8
or
x – 2 = 0,
then x = 2
Hence x = –8, 2.
APPEARS IN
RELATED QUESTIONS
Solve the following quadratic equations by factorization:
`(x-a)/(x-b)+(x-b)/(x-a)=a/b+b/a`
Solve the following quadratic equations by factorization:
`1/(x+4)-1/(x-7)=11/30` , x ≠ 4, 7
Solve each of the following equations by factorization:
x(x – 5) = 24
Solve the following quadratic equation for x:
`4sqrt3x^3+5x-2sqrt3=0`
Solve for x: `3x^2-2sqrt3x+2=0`
Solve the following quadratic equation by factorisation.
2y2 + 27y + 13 = 0
If x = 1 is a common roots of the equations ax2 + ax + 3 = 0 and x2 + x + b = 0, then ab =
The sum of a number and its reciprocal is `2 9/40`. Find the number.
Solve the following by reducing them to quadratic form:
`sqrt(y + 1) + sqrt(2y - 5) = 3, y ∈ "R".`
The roots of the equation x2 + 3x – 10 = 0 are ______.
