Advertisements
Advertisements
Question
Solve the following equation: abx2 +(b2-ac) x - bc = 0
Advertisements
Solution
abx2 +(b2-ac) x - bc = 0
abx2 +b2x - acx - bc = o
bx (ax+ b) - c(ax+ b) = o
(ax+b) (bx-c) = o
x = `- "b"/"a"` , x = `"c"/"b"`
APPEARS IN
RELATED QUESTIONS
Solve the equation `4/x-3=5/(2x+3); xne0,-3/2` for x .
Solve:
x(x + 1) + (x + 2)(x + 3) = 42
If \[x = - \frac{1}{2}\],is a solution of the quadratic equation \[3 x^2 + 2kx - 3 = 0\] ,find the value of k.
If one of the equation ax2 + bx + c = 0 is three times times the other, then b2 : ac =
The product of a girl's age five years ago and her age 3 years later is 105. Find her present age.
Five years ago, a woman’s age was the square of her son’s age. Ten years hence, her age will be twice that of her son’s age. Find:
- the age of the son five years ago.
- the present age of the woman.
The side (in cm) of a triangle containing the right angle are 5x and 3x – 1. If the area of the triangle is 60 cm². Find the sides of the triangle.
An aeroplane travelled a distance of 400 km at an average speed of x km/hr. On the return journey the speed was increased by 40 km/hr. Write down the expression for the time taken for
The outward journey
In each of the following determine whether the given values are solutions of the equation or not
2x2 - 6x + 3 = 0; x = `(1)/(2)`
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.
