Find the zeros of f(x) = x^2 + 4x - 5
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Find the zeros of f(x) = x^2 + 4x - 5

[From: ] [author: ] [Date: 11-12-14] [Hit: ]
Thank you -Well first of all you have to expand the brackets out and find 2 numbers which will add to make -5 and times to make 4, which are -1 and 5 as -1+5= 4 and -1x5=-5. so you get (x-1) (x+5). then all you do is the numbers you got is what the zeros are but with different symbols at the front so the answer is 0= +1 or 0= -5. btw both are the answer :) hope that made sense!(-b +- sqrt(b^2-4ac))/2aThere are two solutions,......
The ^ means it is an exponent (2 is an exponent for x)

How do you solve this?Please show step by step.
Thank you <3

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Well first of all you have to expand the brackets out and find 2 numbers which will add to make -5 and times to make 4, which are -1 and 5 as -1+5= 4 and -1x5=-5. so you get (x-1) (x+5). then all you do is the numbers you got is what the zeros are but with different symbols at the front so the answer is 0= +1 or 0= -5. btw both are the answer :) hope that made sense!

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use the quadratic forumula
it is
(-b +- sqrt(b^2-4ac))/2a There are two solutions, so the +- means one of the solutions is +, one is using minus.
a typical quadratic equation is in the form ax^2+bx+c
in this case a is 1, b is 4, and c is -5
so plug in to get
(-4+-sqrt36)/2
which equals 1 and -5
this way is more straightforward but there are easier ways such as factoring, but they dont work with irrational roots and are hard to work with with fractinal answers.

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The quickest way to do it is by factoring - if you're good enough at factoring to do it!
f(x) = (x+5)(x-1)
Clearly, f(x) = 0 when x=-5 or x=1. Those are your zeros.

If you don't feel up to factoring, then use the quadratic equation, with a=1, b=4, and c=-5. It should give you the same answer.

Hope that helps!

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Delta = 4^2 - 4*1*(-5) = 36

x1 = (- 4 - sqrt(36))/2 = (- 4 - 6)/2 = -10/2 = -5

x2 = (-4 +sqrt(36))/2 =(- 4 + 6)/2 = 2/2 = 1

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factor
(x + 5)(x -1)
the zeros are x = -5,1

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at y=0,
0 = x^2 + 4x - 5
(x-1)(x+5) = 0
x = 1, -5
1
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