Question

how many solutions are there for 8x^2 - 13x + 3 = 0

Answer 1

b^2 - 4ac = 13^2 - 4(8)(3) = 169 - 96 = 73

2 solutions

Answer 2

ok thanks i have another question

Answer 3

The perimeter of a rectangle is 54 cm. The area of the same rectangle is 176 cm². What are the dimensions of the rectangle?

Answer 4

P = 2(l+w)
A = lw

54 = 2(l + w)
176 = lw

54 = 2l + 2w
176 = lw

Solve the system

Answer 5

l = (54 - 2w)/2
l = 176/w

l = l

w(54 - 2w) = 2(176)

54w - 2w^2 = 352

2w^2 - 54w + 352 = 0
w^2 - 27w + 176 = 0
w^2 - 11w - 16w + 176 = 0
w(w-11) - 16(w -11) = 0
(w-11)(w-16) = 0

w = 11
l = 16

Answer 6

Re-post as a separate question.