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3 years ago

How many times does X squared minus 4X -12 cross the X axis

Mathematics

1 answer:

kolbaska11 [484]3 years ago

4 0

We can solve this problem using discriminant.

x^2-4x-12's discriminant is

(-4)^2-4*-12=16+48 which is clearly larger than 0

This means that it crosses over the axes 2 times.

In case you don't know what discriminant is, its in equation ax^2+bx+c

the discriminant is b^2-4ac.

If its positive it has 2 crosses with x axis, if negative then 0 crosses, if 0 then 1 cross.

Hope this helped at least a little bit :D

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VERY IMPORTANT!! PLEASE ANSWER CORRECTLY!!

jolli1 [7]

Answer:

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Step-by-step explanation:

(1) (x-2+2i) (x-2-2i)

Multiply each term inside second parenthesis

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Combine like terms. the value of i^2=-1

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Replace i^2 by -1

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(3) (x+1+i)(x+1-i)

Multiply each term inside second parenthesis

$x^2+x-ix+x+1-i+ix+i-i^2$

Combine like terms. the value of i^2=-1

$x^2-4x+4-4(-1)$

$x^2+2x+2$

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