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Roots of a Quadratic Equation

If 3 : 1 is t...

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If 3 : 1 is the ratio of the roots of the quadratic equation 2x^2 + 5x + m = 0, then the value of m is equal to

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3 : 1

is the ratio of the roots of the quadratic equation

2 x^{2} + 5 x + m = 0

, then the value of

m

Q. The value of

m

for which atleast one root of the quadratic equation

(m^{2} + m + 2) x^{2} - (m + 5) x + 2 = 0

is greater than

- 1

Q. If the roots of a quadratic equation

2 x^{2} + 5 x + 3 k = 0

is reciprocal to other then find the values of k.

α, β

are the roots of the quadratic equation

2 x^{2} - m x - 8 = 0

m_{1}

m_{2}

are the two values of

m

| α - β | = m - 1

(m_{1} + m_{2})

Q. If the roots of the quadratic equation

3 x^{2} - 12 x + m = 0

are equal, then the value of

m

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Roots of a Quadratic Equation

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