Answer:
x = - 2, x = 3
Step-by-step explanation:
Given
x² - x - 6 = 0
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 1)
The factors are + 2 and - 3 , since
2 × - 3 = - 6 and 2 - 3 = - 1 , then
(x + 2)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 3 = 0 ⇒ x = 3
2 - 6 ÷ 6 (Order of Operations - PEMDAS)
= 2 - 1
= 1
Answer is 1
Answer:
ta side from one base to next has length of x. so we know each side has length x and the shape they make is a square. This means we are only searching for the diagonal of a square. remember that a diagonal forms and isoscoles right triangle with the 2 sides being equal and the diagonal as the hypotenuse. Using pythagoream theorem we can say
a^2 + b^2 = c^2 all side lengths are x so we can put x in for a and b to get
x^2 + x^2 = c^2
2x^2 = c^2
c = x * squareroot(2)
so if the length between bases is 90 ft
c = 90 ft * squareroot(2)
c = 127.28 ft
Step-by-step explanation:
