Question

Find the value of p, so that the quadratic equation x square -2px+(7p-12)=0 has equal roots

Answer 1

here is your answer which you want

Answer 2

question

find the value of p for which the roots of the equation 3 x square - 2pX + 6 is equal to zero are equal

Answer:

Given :-

The roots for the equation 3x² - 2px + 6 = 0.

Find out :-

Value of p.

Solution :-

➭ 3x² - 2px + 6 = 0

We know that,

⍟︎ D = b² - 4ac ⍟︎

Substituting the formula we get,

$➻ p² = \cancel{\dfrac{72}{4}} </p><p>4</p><p>72</p><p> </p><p> </p><p> </p><p> </p><p></p><p>➻ p² = 18</p><p></p><p>➻ p = \sqrt{18} </p><p>18</p><p> </p><p> </p><p></p><p>➻ p = \sqrt{2 × 3 3} </p><p>2×3×3</p><p>$

➠ p = 3√2

∴ The value of p is 3√2.