find the value of discriminant for the quadratic equation x² + 7x + 6 = 0
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D=b^2 - 4ac
49-4(6×1)
49-24
25
D=25
49-4(6×1)
49-24
25
D=25
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The value of discriminant for the given quadratic equation is 25
Given:
Quadratic equation x² + 7x + 6 = 0
To find:
The value of discriminant for the given quadratic equation
Solution:
As we know standard form of a Quadratic equation is ax²+bx+c = 0
Compare given Quadratic equation x² + 7x + 6 = 0 with standard form
⇒ a = 1, b = 7 and c = 6
The formula for discriminant of ax²+bx+c = 0 is given by
⇒ Δ = b²- 4ac
⇒ The value of discriminant for the x² + 7x + 6 = 0
⇒ Δ = 7² - 4(1)(6) = 49 - 24 = 25
The value of discriminant for the given quadratic equation is 25
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