SOLUTION: Consider the quadratic equation y=-10 x^2 - 60 x + 8. Complete the square to express the quadratic in standard form y=a (x-h)^2 +k. a= h= k =

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Question 1180267: Consider the quadratic equation y=-10 x^2 - 60 x + 8.
Complete the square to express the quadratic in standard form y=a (x-h)^2 +k.
a=
h=
k =
Found 4 solutions by josgarithmetic, MathTherapy, ikleyn, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
y=-10%28x%5E2%2B6x-8%2F10%29

Add and subtract %286%2F2%29%5E2=9, inside the parentheses.

y=-10%28x%5E2%2B6x%2B9-9-8%2F10%29

y=-10%28%28x%2B3%29%5E2-90%2F10-8%2F10%29

y=-10%28%28x%2B3%29%5E2-98%2F10%29

highlight%28y=-10%28x%2B3%29%5E2%2B98%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Consider the quadratic equation y=-10 x^2 - 60 x + 8.
Complete the square to express the quadratic in standard form y=a (x-h)^2 +k.
a=
h=
k = 
His answer is WRONG, so: cross%28highlight%28y=-10%28x%2B3%29%5E2-82%29%29

Furthermore, the more a person can STEER CLEAR of fractions, the better off he/she may be.

matrix%281%2C3%2C+y%2C+%22=%22%2C+-+10x%5E2+-+60x+%2B+8%29

matrix%281%2C3%2C+y%2C+%22=%22%2C+-+10%28x%5E2+%2B+6x%29+%2B+8%29 -------- Factoring out - 10 on x2 and x to make coefficient on x2, + 1

 ----- Taking ½ of b ON x, squaring the result, then adding to/subtracting from right-side

 --- ADDING and SUBTRACTING, - 10(½ * + 6)2



Correct answer: highlight_green%28matrix%281%2C3%2C+y%2C+%22=%22%2C+-+10%28x+%2B+3%29%5E2+%2B+98%29%29

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

What you call  "the quadratic equation",  in  Mathematics  is called  "a quadratic function".


It is not a quadratic equation,  and only totally illiterate in Math  "composer"/person can call it  "quadratic equation".


For such a composer,  it is the same as to write in his forehead by capital letters

        I am mathematically illiterate

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


-10x%5E2-60x%2B8

Factor the leading coefficient out of the x^2 and x terms:

-10%28x%5E2-6x%29%2B8

Complete the square of the expression in parentheses by adding (6/2)^2=9. In doing that, you have added -10(9)=-90 to the expression, so you have to add +90 outside the parentheses to keep the expression unchanged.

-10%28x%5E2-6x%2B9%29%2B8%2B90

Write the expression in parentheses as the square of a binomial:

-10%28x-3%29%5E2%2B98

ANSWERS:
A = -10
h = 3
k = 98