Solve each quadratic equation. Show your work
Where do i start?
4x^2 = 100

- anonymous

Solve each quadratic equation. Show your work
Where do i start?
4x^2 = 100

- jamiebookeater

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- welshfella

divide both sides by 4 to isolate x^2:-
x^2 = 25
can you continue?

- anonymous

that will give the answer right

- welshfella

well you need to find the value of x
x ^2 means x times x
so you need to think of a number which when multiplied by itself gives 25 ?

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## More answers

- anonymous

Okay.
4x^2/4 100/4 = 25

- anonymous

Does that get rid of the x^2?

- anonymous

the work shown should help get the solution which i think is 25

- anonymous

Yeah 100/4=25

- anonymous

Do i have x^2 any more or does it go with the 4 @welshfella ?

- welshfella

no 25 is not the solution
we have x^2 = 25
so x = ?

- anonymous

so 25 is the answer

- anonymous

25x^2?

- anonymous

100 is the solution

- anonymous

x=4

- welshfella

no
the solution is the value of x
we know that x times x = 25 so what must x be?

- welshfella

Not 4
because 4*4 = 16 not 25

- anonymous

what do you think

- anonymous

How do we find the value of x?

- welshfella

x is the square root of 25
that is the number that when multiplied by itself gives 25
for example 3 is square root of 9
as 3 * 3 = 9

- anonymous

hold on let me try to figure this out

- welshfella

what times what = 25?

- anonymous

so you would use square root

- welshfella

yea

- anonymous

okay

- anonymous

625?

- anonymous

i think so

- welshfella

no - thats the SQUARE of 25
25*25 = 625

- anonymous

okay what do you think

- welshfella

5 *1 = 5
5*2 = 10
5*3 = 15
5*4 = 20
what comes next?

- welshfella

now you have it

- anonymous

25

- anonymous

sooooo

- welshfella

5 is the square root of 25
because 5 * 5 = 25
x^2 = 25
so
x = 5

- anonymous

Alright

- welshfella

actually there is 2 answers 5 and -5
because -5*-5 is also equal to 25

- anonymous

okay was i right

- anonymous

Neat. Thanks for helping me i appreciate it :)

- welshfella

@kitty_lover1234 No . 25 is not the answer

- anonymous

what do you think it is

- anonymous

x=5

- anonymous

okay

- welshfella

also -5
write the answer as {5,-5}

- anonymous

Alright

- welshfella

that is what is known as the 'solution set'. Written in curly brackets.

- anonymous

i see where i went wrong

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