Question

What are the zeros of the function represented by the quadratic expression 2x^2 + x -3?

Answer 1

the zeros of the following quadratic equationunderoot is3/2

Answer 2

To find the zeros of the function represented by the quadratic expression $2x^2 + x - 3$ , we need to solve for the values of x that make the expression equal to zero.

We can do this using the quadratic formula, which states that for a quadratic equation of the form $ax^2 + bx + c = 0,$ the solutions for x are given by:

x = (-b ± $\sqrt{ (b^2 - 4ac) / 2a$)

In our case, a = 2, b = 1, and c = -3,

so we have:

x = (-1 ± $\sqrt{(1^2 - 4(2)(-3))) } / 2(2)$

x = (-1 ± $\sqrt{sqrt(1 + 24))} / 4$

x = (-1 ± sqrt(25)) / 4

The square root of 25 has two possible values, +5 and -5. So we have:

x = (-1 + 5) / 4 or x = (-1 - 5) / 4

Simplifying these expressions, we get:

x = 1/2 or x = -3/2

Therefore, the zeros of the function represented by the quadratic expression $2x^2 + x - 3$ are x = 1/2 and x = -3/2.

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