Advertisements
Advertisements
Question
Solve the following equation by factorization
x(2x + 5) = 3
Solution
x(2x + 5) = 3
⇒ 2x2 + 5x - 3 = 0
⇒ 2x2 + 6x - x - 3 = 0
⇒ 2x (x + 3) - 1 (x + 3) = 0
⇒ (x + 3) (2x - 1) = 0
Either x + 3 = 0,
then x = -3
or
2x - 1 = 0,
then 2x = 1
⇒ x = `(1)/(2)`
∴ x = `-3, (1)/(2)`.
APPEARS IN
RELATED QUESTIONS
Divide 57 into two parts whose product is 680.
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.
Find the discriminant of the quadratic equation \[3\sqrt{3} x^2 + 10x + \sqrt{3} = 0\].
The sum of the ages of a father and his son is 45 years. Five years ago, the product of their ages was 124. Determine their present ages.
In each of the following determine whether the given values are solutions of the equation or not.
x2 + 6x + 5 = 0; x = -1, x = -5
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.
x2 + x + 1 = 0; x = 1, x = -1.
If the perimeter of a rectangular plot is 68 m and the length of its diagonal is 26 m, find its area.
If the sum of the roots of the quadratic equation ky2 – 11y + (k – 23) = 0 is `13/21` more than the product of the roots, then find the value of k.
For quadratic equation `2x + 5/x = 5` :
