SOLUTION: Hello I need help solving this quadratic equation by completing the square and rounding the solution to nearest hundredth please.
{{{ x^2-10x+10=0 }}}
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Quadratic Equations and Parabolas
-> SOLUTION: Hello I need help solving this quadratic equation by completing the square and rounding the solution to nearest hundredth please.
{{{ x^2-10x+10=0 }}}
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Hi
Solve this quadratic equation by completing the square and rounding the solution to nearest hundredth.
x^2 - 10x + 25 - 25 + 10 = 0
(x-5)^2 -15 = 0
(x-5)^2 = 15 |Taking the square root of both sides
x-5 = ± √15
x = 5 ± √15 √15 =3.87
x = 8.87 0r x = 1.13
Wish You the Best in your Studies.
subtract 10 from both sides of the equation to get:
x^2 - 10x = -10
take half the coefficient of the x term and adding it to x to get (x - 5)^2 = -10
(x - 5)^2 is equal to x^2 -10x + 25
to make (x - 5)^2 equal to x^2 - 10x, you need to subtract 25 from the result.
you get (x - 5)^2 - 25 = -10
add 25 to both sides of the equation to get:
(x - 5)^2 = 15
take the square root of both sides of this equation to get:
x - 5 = plus or minus sqrt(15)
add 5 to both sides of this equation to get:
x = 5 plus or minus sqrt(15)
that's your solution.
if you graph the equations of x^2 - 10x + 10 = y, and (x - 5)^2 - 15 = y, they should be identical.
the following graph shows that they are:
the roots shown are 1.127 and 8.873.
5 + sqrt(15) = 8.873 rounded to 3 decimal places.
5 - sqrt(15) = 1.127 rounded to 3 decimal places.
both equations draw the same graph.
this means they are identical.
they are two different versions of the same equation.
