Use the discriminant to describe the roots of each equation. Then select the best description.

2 = x2 + 5x

Question

Use the discriminant to describe the roots of each equation. Then select the best description.

2 = x2 + 5x

imstuck · Answer

Put it into standard form first.  Ax^2 + Bx + C = 0.

anonymous · Answer

x^2+5x=2

imstuck · Answer

The discriminant is the "inside" part of the quadratic formula, what's under the radical sign.

imstuck · Answer

Standard form is  x^2 + 5x - 2 = 0

imstuck · Answer

The discriminant formula is b^2 - 4(a)(c).  Your a is a 1, your b is a 5, and your c is a -2.

imstuck · Answer

Fill those values into that formula and see what the value of the discriminant is.

anonymous · Answer

ok thank you

imstuck · Answer

$$(5)^{2}-4(1)(-2)=25+8=33$$

imstuck · Answer

Do you know the rules about the discriminant's values and what it tells you about the graph of the polynomial?

anonymous · Answer

greather than 0 = rational & real perfect square
=0 will be real & rational
<0 will be complex or imaginary

imstuck · Answer

greater than 0, there are 2 real solutions; less than 0 there are no real solutions, only imaginary complex solutions; equals 0, there is 1 real solution.

imstuck · Answer

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