Use the quadratic formula to solve the equation: x 2 - 17 x + 72 = 0.?

Answer 1

x^2 - 17x + 72 = 0
x=(17+/-√(17^2-4*72))/2
x=(17+/-√(289-288)/2
x=(17+/-1)/2
x=8, 9

you could get there faster
x^2-17x+72
(x-8)(x-9)=0
x-8=0
x=8
x-9=0
x=9

Answer 2

question variety a million : For this equation x^2 - 17*x + 72 = 0 , answer right here questions : A. locate the roots using Quadratic formula ! answer variety a million : The equation x^2 - 17*x + 72 = 0 is already in a*x^2+b*x+c=0 variety. so we are able to intend that the fee of a = a million, b = -17, c = 72. 1A. locate the roots using Quadratic formula ! Use abc formula and you get the two x1 = (-b+sqrt(b^2-4*a*c))/(2*a) or x2 = (-b-sqrt(b^2-4*a*c))/(2*a) We had understand that a = a million, b = -17 and c = 72, we only ought to subtitute the fee of a,b and c interior the abc formula. Which produce x1 = (-(-17) + sqrt( (-17)^2 - 4 * (a million)*(72)))/(2*a million) and x2 = (-(-17) - sqrt( (-17)^2 - 4 * (a million)*(72)))/(2*a million) which could be grew to become into x1 = ( 17 + sqrt( 289-288))/(2) and x2 = ( 17 - sqrt( 289-288))/(2) Which make x1 = ( 17 + sqrt( a million))/(2) and x2 = ( 17 - sqrt( a million))/(2) So we get x1 = ( 17 + a million )/(2) and x2 = ( 17 - a million )/(2) So we've the solutions x1 = 9 and x2 = 8

Answer 3

The quadraic equation is simple

x=(-b +or- Sqrt(b^2-4AC)) / 2A

Since you have this : x^2 - 17 x + 72
You can put it into Ax +By + C form
We can say that
A=1
B=-17
C=72

Plug in the values in the equations

x=(-(-17) + sqrt(17^2-4(1)(72))) /2
x=(-(-17) - sqrt(17^2-4(1)(72))) /2

Then work it out

x=(17+ sqrt(289-288)) /2
x=(17 - sqrt(289-288)) /2

You get two answers
x=(17 +1)/2 -> x=9
x=(17 - 1)/2 ->x=8

Answer 4

You can keep asking us to do this for you, but need to learn how to use the quadratic formula. Here's a link that explains it:
http://www.bagatrix.com/tutorials/quadratic_formula.htm
(Note: if you don't like this one, put tutorial quadratic formula in your search window and you'll have other choices.)
True, some of the things you've posted can be solved more easily by factoring. But if you're supposed to be learning to use the quadratic formula, the only way you can learn it is by practice.

Answer 5

it's 8 and 9

Answer 6

x^2 - 17x + 72 = 0

x = (-(-17) ± sqrt((-17)^2 - 4(1)(72)))/(2(1))
x = (17 ± sqrt(289 - 288))/2
x = (17 ± sqrt(1))/2
x = (17 ± 1)/2
x = (18/2) or (16/2)
x = 9 or 8

ANS : x = 8 or 9

Answer 7

(x-9)(x-8) = 0
x² - 17x + 72 = 0
d = 17² - 4.1.72
d = 1

x = (17 +/- \/1) : 2
x' = 9
x" = 8
Solution: {x elements of R | x = 9 or x = 8}
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Answer 8

x^2-17x+72=0
or, x^2-8x-9x+72=0
or, x(x-8)-9(x-8)=0
or, (x-8)(x-9)=0

or, x = 8 and 9