Solve 6x(6x) + 11x - 35 = 0

2 answers:

6 0

6x(6x) + 11x - 35 = 0
36x^2 + 11x - 35 = 0
36x^2 + 11x = 35

-11 + or - square root 11^2 - 4 (36) (-35)
  divided by
2 * 36

-11 + or - square root 5161
divided by
72

-11 + or - 71.84
divided by
  72

There are two answers to the problem:
-11 + 71.84 / 72 = -10 rounded
-11 - 71.84 / 72 = -12. rounded
welcome :/

Murljashka [212]2 years ago

4 0

$36x^2 + 11x - 35=0\\\\ \frac{-b \pm \sqrt{ b^2 -4( a)(c)} }{2(a)}\\\\ \frac{-11\pm \sqrt{11^2 -4(36)(-35)} }{2(36)}\\ \\ \frac{-11\pm \sqrt{5161 } }{72}\\\\\\ x = 0.8450013919812116\\\\ \text{ } x = -1.1505569475367672$

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Answer:

The expression 7x represents the height of the container.

Step-by-step explanation:

From the question:

We are being informed that; if the length of the container is half of a foot longer than its width.

Let the width be x;

Then the length of the container can now be ; x+1/2

We all known that the volume of a rectangular prism is : V= l×w×h

here;

l = length

w = width

h = height

If we rewrite the given expression :

$\mathbf{7x^3+3.5x^2}$ ;

Then we factor we make a similar coefficient of the above equation, the remaining entities left in the parenthesis should be a linear term with a leading coefficient of 1 to match the expression for the length of the container.

i.e

$\mathbf{7x^3+3.5x^2}} \\ \\\mathbf{7x^2(x+1/2)} \\ \\\mathbf{7*x*x*(x+1/2)}$