Advertisements
Advertisements
Question
If 3 is a root of the quadratic equation x2 – px + 3 = 0, then p is equal to ______.
Options
4
3
5
2
Advertisements
Solution
If 3 is a root of the quadratic equation x2 – px + 3 = 0, then p is equal to 4.
Explanation:
x = 3 is a root of the equation
x2 – px + 3 = 0 ...(i)
Then x = 3 will satisfy equation (i)
∴ (3)2 – 3p + 3 = 0
9 – 3p + 3 = 0
3p = 12
`\implies` p = `12/3`
`\implies` p = 4
APPEARS IN
RELATED QUESTIONS
Solve for x: `sqrt(3x^2)-2sqrt(2)x-2sqrt3=0`
For what value of m, are the roots of the equation (3m + 1)x2 + (11 + m) x + 9 = 0 equal?
Find the nature of the roots of the following quadratic equation. If the real roots exist, find them:
2x2 - 3x + 5 = 0
Find the nature of the roots of the following quadratic equation. If the real roots exist, find them:
2x2 - 6x + 3 = 0
Determine the nature of the roots of the following quadratic equation:
9a2b2x2 - 24abcdx + 16c2d2 = 0
In the following determine the set of values of k for which the given quadratic equation has real roots:
x2 - kx + 9 = 0
Solve the following quadratic equation using formula method only
3x2 + 12 = 32 x
Find the value of k for which the following equation has equal roots:
(k − 12)x2 + 2(k − 12)x + 2 = 0.
Choose the correct answer from the given four options :
If the equation 2x² – 5x + (k + 3) = 0 has equal roots then the value of k is
The quadratic equation whose one rational root is `3 + sqrt2` is
