Advertisements
Advertisements
Question
Without solving the following quadratic equation Find the value of p for which the roots are equal
`px^2 - 4x + 3 = 0`
Advertisements
Solution
`px^2 - 4x + 3 = 0`
Here a = p, b = -4 and c = 3
Given equation has equal roots then D = 0
`=> b^2 - 4ac = 0`
`=> [-4]^2 - 4(p)(3) = 0`
`=> 16 - 12p = 0`
`=> -12p = -16`
`=> p = (-16)/(-12) = 4/3`
RELATED QUESTIONS
John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.
Solve the following quadratic equations by factorization:
`x^2-(sqrt2+1)x+sqrt2=0`
Find the consecutive even integers whose squares have the sum 340.
The sum of natural number and its reciprocal is `65/8` Find the number
Solve the following quadratic equations by factorization:
\[\frac{4}{x} - 3 = \frac{5}{2x + 3}, x \neq 0, - \frac{3}{2}\]
Solve the following equation :
`("x" - 1)/("x" - 2) + ("x" - 3)/("x" - 4) = 3 1/3`
Solve the following equation by factorization
`x/(x - 1) + (x - 1)/x = 2(1)/(2)`
The sum of two numbers is 9 and the sum of their squares is 41. Taking one number as x, form ail equation in x and solve it to find the numbers.
By selling an article for Rs. 21, a trader loses as much per cent as the cost price of the article. Find the cost price.
If α and β are roots of the quadratic equation x2 – 7x + 10 = 0, find the quadratic equation whose roots are α2 and β2.
