What do you multiply to get 201.25 and add to get 58

9514 1404 393

Step-by-step explanation:

If we let x represent one of the numbers, then you want ...

  x(58 -x) = 201.25

  x² -58x +201.25 = 0 . . . . . put in standard form

  (x² -58x +29²) +201.25 -29² = 0 . . . . complete the square

  (x -29)² -639.75 = 0

  x -29 = ±√639.75 . . . . . add 639.75 and take the square root

  x = 29 ±√639.75 . . . . . . add 29

The two numbers of interest are ...

  29 +√639.75 ≈ 54.2933

  29 -√639.75 ≈ 3.7067

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.