Question

Find the value of p and q if they are the zeroes of 2x^2+px+q
really urgent​

Answer 1

Solution :-

we know that,

• sum of roots of quadratic equation ax² + bx + c = 0 is (-b/a) .
• Product of roots = c/a .

comparing the given equation 2x² + bx + c with ax² + px + q we get,

• a = 2
• b = p
• c = q

so,

→ p + q = (-b/a) (-p/2)

→ 2p + 2q = - p

→ 2p + p = - 2q

→ 3p = -2q

→ p = (-2/3)q -------- Eqn.(1)

also,

→ p * q = c / a = q / 2

→ pq = q/2

→ p = (1/2) .

putting value of p in Eqn.(1) we get,

→ (1/2) = (-2/3)q

→ q = (-3/4) .

hence, value of p is (1/2) and q is (-3/4) .

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