Question

find the discriminant of the following equation x²+5x-6=0
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Answer 1

Answer:

D = b²- 4ac

= 5² - 4×1×(-6)

= 25+24

= 49

Answer 2

Solution :

$\sf x {}^{2} + 5x + 6 = 0$

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By, Comparing the Equation with

ax² + bx + c = 0

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We will get,

a = 1

b = 5

c = 6

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$\sf D = {b}^{2} - 4ac$

$\sf \implies D = (5)^{2} - 4 \times 1 \times 6$

$\sf \implies D = 25 - 24$

$\sf \implies D = 1$

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Therefore, $\sf D = 1$

Therefore, discriminant of the following equation is 1.