If the quadratic equation, px^2 - 2√5 px + 15 = 0 has two equal roots, then the value of p is: 1. 0 2. 3 3. 6 4. both 0 and 3

Comparing px2 - px + 15 = 0 with ax2 + bx + c = 0 we get, a = p, b = p and c = 15. We know that, Since equations has equal roots, ⇒ D = 0 ⇒ b2 - 4ac = 0 ⇒ ( p)2 - 4(p)(15) = 0 ⇒ 20p2 - 60p = 0 ⇒ 20p(p - 3) = 0 ⇒ 20p = 0 or (p - 3) = 0 [Using Zero-product rule] ⇒ p = 0 or p = 3. Since p = 0 would make the equation no longer quadratic, we take: p = 3 Hence, option 2 is the correct option.

The values of k for which the quadratic equation 9x² - 3kx + k = 0, has equal roots, are:
0, 1
0, 2
2, 4
0, 4

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If the roots of the quadratic equation, px(x - 2) + 6 = 0 are equal, then the value of p is:
0
4
6
none of these

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Mathematics

If the quadratic equation, px^2 - 2√5 px + 15 = 0 has two equal roots, then the value of p is: 1. 0 2. 3 3. 6 4. both 0 and 3

Quadratic Equations

Related Questions

The values of k for which the quadratic equation 9x² - 3kx + k = 0, has equal roots, are:
0, 1
0, 2
2, 4
0, 4

If the roots of the quadratic equation, px(x - 2) + 6 = 0 are equal, then the value of p is:
0
4
6
none of these

Mathematics

If the quadratic equation, px^2 - 2√5 px + 15 = 0 has two equal roots, then the value of p is: 1. 0 2. 3 3. 6 4. both 0 and 3

Quadratic Equations

Related Questions

The values of k for which the quadratic equation 9x2 - 3kx + k = 0, has equal roots, are:0, 10, 22, 40, 4

If the roots of the quadratic equation, px(x - 2) + 6 = 0 are equal, then the value of p is:046none of these

The values of k for which the quadratic equation 9x² - 3kx + k = 0, has equal roots, are:
0, 1
0, 2
2, 4
0, 4

If the roots of the quadratic equation, px(x - 2) + 6 = 0 are equal, then the value of p is:
0
4
6
none of these