2401 I had that question a few years ago
Answer:
b = ⅓
x = ½, -1/7
Step-by-step explanation:
(b−5)x² − (b−2)x + b = 0
(b - 5)(0.5)² - (b - 2)(0.5) + b = 0
0.25b - 1.25 - 0.5b + 1 + b = 0
0.75b = 0.25
b = ⅓
(⅓−5)x² − (⅓−2)x + ⅓ = 0
(-14/3)x² + (5/3)x + 1/3 = 0
14x² - 5x - 1 = 0
14x² - 7x + 2x - 1 = 0
7x(2x - 1) + (2x - 1) = 0
(7x + 1)(2x - 1) = 0
x = 0.5, -1/7
Answer:
Systems of Equations often have infinite solutions.
Step-by-step explanation:
I don't know if there are 7 answers or what
1+2 is 3 -6 is -3
Quick math!
Answer:
Step-by-step explanation:
A 2nd order polynomial such as this one will have 2 roots; a 3rd order polynomial 3 roots, and so on.
The quadratic formula is one of the faster ways (in this situation, at least) in which to find the roots. From 2x^2 + 4x + 7 we get a = 2, b = 4 and c = 7.
Then the discriminant is b^2 - 4ac, or, here, 4^2 - 4(2)(7), or -40. Because the discriminant is negative, we know that the roots will be complex and unequal.
Using the quadratic formula:
-4 ±√[-40] -4 ± 2i√10
x = ------------------ = ------------------
4 4
-2 ± i√10
Thus, the roots are x = ------------------
2