Question

if the quadratic equation P X square + 4 x + 3 is equal to zero has equal roots find the value of p​

Answer 1

Answer:-

$\implies \: \boxed{\bf{ P = \frac{4}{4} }}$

Step - by - step explanation:-

Formula used:-

$\bf{discriminant = {b}^{2} - 4ac}$

Solution:-

Given equation →

$\implies \bf{P {x}^{2} + 4x + 3 = 0}$

$\bf{ comparing \: this \: equation \: with \: } \\ \bf{standard \: equation \:} \\ \bf{a {x}^{2} + bx + c = 0}$

After comparing these ,we get

→ a = P , b = 4 and c = 3

We know that,

If a quadratic equation has equal roots ,then it's discriminant will equal to zero(0).

$\bf{ \because \: discriminant \: = {b}^{2} - 4ac} \\ \\ \therefore \: \\ \bf{discriminant = 0 = {(4)}^{2} - 4 \times </em><em>P</em><em> \times 3} \\ \\ \implies \: \bf{0 = 16 - 12</em><em>P</em><em>} \\ \\ \implies \: \bf{12</em><em>P</em><em> = 16} \\ \\ \implies \: \boxed{ \bf{ </em><em>P</em><em> = \frac{4}{3} }}$

Answer 2

Step-by-step explanation:

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