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Squaring an Inequality

If the roots ...

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If the roots of the equation x square _ ax +b=0 are real and differ by a quantity which is less than c (c>0) then b lies between

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Q. If the roots of the equation

x^{2} - a x + b = 0

are real and differ by a quantity which is less than

c (c > 0)

b

Q. If the roots of the quadratic equation

x^{2} - a x + b = 0

are real and differ by a quantity less than 1, then

Q. If the roots of the quadratic equation

x^{2} - p x + q = 0

are real and differ by a quantity less than 1, then

Q. Assertion :If the roots of the equations

x^{2} - b x + c = 0

x^{2} - c x + b = 0

differ by the same quantity, then

b + c

- 4

α, β

are the roots of the equation

A x^{2} + B x + C = 0,

α - β = \frac{\sqrt{B^{2} - 4 A C}}{A}

a, b, c

b^{2} - 4 a c

is perfect square then the roots of the equation

a x^{2} + b x + c = 0

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