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Discriminant

Write the dis...

Question

Write the discriminant of the equation $a x^{2} + b x + c = 0$ .

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Solution

Solution:
Discriminant $D = b^{2} - 4 a c$

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Q. The formula of discriminant of quadratic equation

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

D =

State true or false. The discriminant for general quadratic equation $a x^{2} + b x + c = 0$ is $b^{2} - 4 a c$ .

Q. “ $b^{2} + 4 a c$ ” is called the discriminant of a quadratic equation $a x^{2} + b x + c$ .

Q. Discriminant of the equation

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

Q. Assertion :If

a + b + c = 0

a, b, c

are rational, then the roots of the equation

(b + c - a) x^{2} + (c + a - b) x + (a + b - c) = 0

are rational . Reason: Discriminant of

(b + c - a) x^{2} + (c + a - b) x + (a + b - c) = 0

is a perfect square .

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