Advertisements
Advertisements
Question
Solve the following equation by factorization
`(x^2 - 5x)/(2)` = 0
Advertisements
Solution
`(x^2 - 5x)/(2)` = 0
x2 - 5x = 0
⇒ x(x - 5) = 0
Either x = 0 or x - 5 = 0,
then x = 5
Hence x = 0, 5.
APPEARS IN
RELATED QUESTIONS
Solve the following quadratic equations by factorization:
`(x-1)/(2x+1)+(2x+1)/(x-1)=5/2` , x ≠ -1/2, 1
Solve the following quadratic equations by factorization:
abx2 + (b2 – ac)x – bc = 0
Solve the following quadratic equation by factorisation.
3x2 - 2√6x + 2 = 0
Find the values of p for which the quadratic equation \[\left( 2p + 1 \right) x^2 - \left( 7p + 2 \right)x + \left( 7p - 3 \right) = 0\] has equal roots. Also, find these roots.
If the roots of the equations \[\left( a^2 + b^2 \right) x^2 - 2b\left( a + c \right)x + \left( b^2 + c^2 \right) = 0\] are equal, then
If \[\left( a^2 + b^2 \right) x^2 + 2\left( ab + bd \right)x + c^2 + d^2 = 0\] has no real roots, then
A two digit number is such that its product of its digit is 18. When 63 is subtracted from the number, the digits interchange their places. Find the number.
There is a square field whose side is 44m. A square flower bed is prepared in its centre leaving a gravel path all round the flower bed. The total cost of laying the flower bed and graving the path at Rs 2. 75 and Rs. 1.5 per square metre, respectively, is Rs 4,904. Find the width of the gravel path.
Solve the following by reducing them to quadratic form:
`sqrt(y + 1) + sqrt(2y - 5) = 3, y ∈ "R".`
Divide 16 into two parts such that the twice the square of the larger part exceeds the square of the smaller part by 164.
