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X^2+3x-6 Find the Discriminat and state how many solutions and type of zero

X^2+3x-6 Find the Discriminat and state how many solutions and type of zero-example-1
User S M Shamimul Hasan
by
2.9k points

1 Answer

21 votes
21 votes

Solution

Discriminant

- The formula for the discriminant of a quadratic equation is:


\begin{gathered} \text{ Given,} \\ ax^2+bx+c \\ \\ \text{ The Discriminant is:} \\ D=b^2-4ac \end{gathered}

- Applying the formula, we have:


\begin{gathered} a=1,b=3,c=-6 \\ \\ \therefore D=3^2-4(1)(-6) \\ D=9+24 \\ D=33 \end{gathered}

- Discriminant is 33

How many solutions

- If the discriminant is > 0, then, the Quadratic equation has 2 solution.

- If the discriminant is = 0, then, the Quadratic equation has 1 solution

- If the discriminant is < 0, then, the Quadratic equation has no real solutions.

- The discriminant is 33 > 0, thus, the Quadratic equation has 2 solutions

Type of zero

- Since there are 2 solutions, then, it has real solutions

Final Answer

OPTION B

User Mister Lucky
by
3.1k points
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