y=x^2+6x-4 type all x-intercepts.

Type answers in correct from.

y=x^2+6x-4 type all x-intercepts.

Type answers in correct from.

Tutors, please sign in to answer this question.

Portland, OR

The firs thing you need to do in this type of problem is factor it. First, I look at the leading coefficient of x^2. As there is no coefficient given, you can leave it as x:

(x )(x )

I then look at the last number (in this case a -4) The two factors of -4 are +/- 2 and 4 and 1.

(x-2)(x+2) or (x-4)(x+1) or (x-1)(x+4)

If I were to FOIL these though, I would find that I could not get a positive 6x. At this point I would use the quadratic formula:

x= - b +/- (√(b2-4ac)/2a

x = (-6 + √(6^{2}-4(1)(-4))/2(1) and x = -6 - √(62-4(1)(-4))/2(1)

x = -6 + √(36-(-16))/2 and x = -6 - √(52)/2

x = -6 + √(52)/2 and x = -6 - √(52)/2

√(52) -> √13 * √4 -> 2√13

x = (-6 + 2√13)/2 and x = (-6 - 2√13)/2

x = -3 + √13 and x = -3 - √13 (Exact Answers)

x = .61 and x = -6.6 (Decimal Answers)

- Math 9870
- Math Help 5453
- Word Problem 5122
- Algebra 5060
- Math Word Problem 4505
- Algebra 1 4075
- Algebra 2 3504
- Algebra Word Problem 2490
- Chemistry 2259
- Calculus 2207