Question

*Find the discriminant of the quadratic equation, ax²+ bx + c = 0*

1️⃣ b² + 4ac
2️⃣ a² - 4bc
3️⃣ b² - 4ac
4️⃣ a² + 4bc​

Answer 1

Answer:

the correct answer will be option c.

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Answer 2

To Find :

the discriminant of the  quadratic equation :

ax²+bx+c =0

Solution :

Discriminant in math is a function of the coefficients of the polynomial/equation .

recall the formula of quadratic equation of the form ax²+bx+c=0, is:

$\tt{x =\frac{-b+\sqrt{b^{2}-4ac } }{2a} }$

so, the part of this formula under the square root is called as the discriminant of the equation ax2+bx+c=0

hence, the discriminant of ax²+bx+c =0 is option3) b²-4ac

Solve some examples :

1) find the discriminant of 2x²+3x = -3

ans: the equation can be rewritten as 2x²+3x+5 = 0

here, a = 2

b=3

c = 5

so, discriminant of the equation =

3²-4(2×5)

= 9-4(10)

= 9-40

= -31

See the graph also :)

2) x²+3x = 18

ans : try to solve yourself