Question

Determine the zeros of the function x^2 − 25 = 0.

Answer 1

this is the difference of 2 squares

\[(x -a)(x+a) = x^2 - a^2\]

match your equation to the standard form above.. and you should get the answer

Answer 2

Factor x^2-25

Answer 3

I got (x-5)(x-5)=0 but that's not it

Answer 4

nearly

(x -5)(x + 5) = 0

now you need to solve the binomial factors

x - 5 = 0

x + 5 = 0

there will be 2 values of x...

Answer 5

oh is it 0?

Answer 6

nope... find the values of x that make

x - 5 = 0

as well as

x + 5 = 0

Answer 7

-5 and +5

Answer 8

?

Answer 9

thats it... well done

Answer 10

Can you help me more

Answer 11

Determine the zeros of the function 7x2 + 9x = 0.

Answer 12

*Determine the zeros of the function 7x^2 + 9x = 0.

Answer 13

ok... so you need to factor the equation...

what is a common factor between 7x^2 and 9x ?

Answer 14

1?

Answer 15

well what about a letter factor...?

Answer 16

oh x hahaha

Answer 17

great so the factored form is

x(7x + 9) = 0


now if either factor is zero, then the whole equation would equal zero...

so 1 solution is

x = 0

the other solution is

7x + 9 = 0

now just solve the equation for x

Answer 18

9/7 ? is that the other answer

Answer 19

:(

Answer 20

well its -9/7...

so the 2 solutions are

x = 0 and x = -9/7

substitute either value into the equation and you'd have zero as the answer...

Answer 21

okay thank you can you keep helping me?

Answer 22

This

Answer 23

ok... this is the graphical solution...

the zeros... are the the points where y = 0.... find the corresponding x values...

which means, read off the x values where the curve cuts the x-axis....

hope it all helps..

Answer 24

I don't know how to do that

Answer 25

the x- axis is the horizontal ... where does the curve cut the horizontal axis... there are 2 points