Question

Quadratic Equation:
1. If a and ß are the roots of the equation x2 + 6x + 2 = 0, find the value of a2 + ß2.
2. If one root of the equation x2 + px + q = ( be three times the other root, show that 3p2 =
169.
3. If x2 – 6x + a = 0 has two roots a and ß and 3a + 2ß = 20, find the value of a.
4. Find the value of m if x2 – 2(5 + 2m)x + 3(7 + 10m) = 0 has equal roots but they are in
opposite sign.
5. If the sum and product of the roots of the equation 2x2 + ax + b = ( be 5 and (-3)
respectively, find a and b.​

Answer 1

Answer:

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Step-by-step explanation: