anonymous
  • anonymous
Solve each quadratic equation. Show your work Where do i start? 4x^2 = 100
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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welshfella
  • welshfella
divide both sides by 4 to isolate x^2:- x^2 = 25 can you continue?
anonymous
  • anonymous
that will give the answer right
welshfella
  • 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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anonymous
  • anonymous
Okay. 4x^2/4 100/4 = 25
anonymous
  • anonymous
Does that get rid of the x^2?
anonymous
  • anonymous
the work shown should help get the solution which i think is 25
anonymous
  • anonymous
Yeah 100/4=25
anonymous
  • anonymous
Do i have x^2 any more or does it go with the 4 @welshfella ?
welshfella
  • welshfella
no 25 is not the solution we have x^2 = 25 so x = ?
anonymous
  • anonymous
so 25 is the answer
anonymous
  • anonymous
25x^2?
anonymous
  • anonymous
100 is the solution
anonymous
  • anonymous
x=4
welshfella
  • welshfella
no the solution is the value of x we know that x times x = 25 so what must x be?
welshfella
  • welshfella
Not 4 because 4*4 = 16 not 25
anonymous
  • anonymous
what do you think
anonymous
  • anonymous
How do we find the value of x?
welshfella
  • 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
  • anonymous
hold on let me try to figure this out
welshfella
  • welshfella
what times what = 25?
anonymous
  • anonymous
so you would use square root
welshfella
  • welshfella
yea
anonymous
  • anonymous
okay
anonymous
  • anonymous
625?
anonymous
  • anonymous
i think so
welshfella
  • welshfella
no - thats the SQUARE of 25 25*25 = 625
anonymous
  • anonymous
okay what do you think
welshfella
  • welshfella
5 *1 = 5 5*2 = 10 5*3 = 15 5*4 = 20 what comes next?
welshfella
  • welshfella
now you have it
anonymous
  • anonymous
25
anonymous
  • anonymous
sooooo
welshfella
  • welshfella
5 is the square root of 25 because 5 * 5 = 25 x^2 = 25 so x = 5
anonymous
  • anonymous
Alright
welshfella
  • welshfella
actually there is 2 answers 5 and -5 because -5*-5 is also equal to 25
anonymous
  • anonymous
okay was i right
anonymous
  • anonymous
Neat. Thanks for helping me i appreciate it :)
welshfella
  • welshfella
@kitty_lover1234 No . 25 is not the answer
anonymous
  • anonymous
what do you think it is
anonymous
  • anonymous
x=5
anonymous
  • anonymous
okay
welshfella
  • welshfella
also -5 write the answer as {5,-5}
anonymous
  • anonymous
Alright
welshfella
  • welshfella
that is what is known as the 'solution set'. Written in curly brackets.
anonymous
  • anonymous
i see where i went wrong

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