Answer:
see explanation
Step-by-step explanation:
Check the value of the discriminant
Δ = b² - 4ac
• If b² - 4ac > 0 then roots are real
• If b² - 4ac = 0 roots are real and equal
• If b² - 4ac < 0 then roots are not real
given (x - a)(x - b) = k² ( expand factors )
x² - bx - ax - k² = 0 ( in standard form )
x² + x(- a - b) - k² = 0
with a = 1, b = (- a - b), c = -k²
b² - 4ac = (- a - b)² + 4k²
For a, b, k ∈ R then (- a - b)² ≥ 0 and 4k² ≥ 0
Hence roots of the equation are always real for a, b, k ∈ R
Answer:
Step-by-step explanation:
hello :
the degree of polynomial is : 7
Answer:
<h3> -8(2x +x )/-2y = - 30</h3>
Step-by-step explanation:
x=-5, y=2 and z=0
-8(2x +x )/-2y =(-8•3x)/-2y = [-8•3(-5)] / (-2•2) = 120/(-4) =-30
Answer:
89
Step-by-step explanation:
25 watches equals a $50 bonus + 25 * 4
25*4=100
100+50=150
150 can go into 506 three times with a remainder of 56.
since it fits three times that is 75 watches
now divided the remainder by 4 and add this to 75.
56/4=14
75+14=89
89 watches
Let's write an inequality, such as follows: x < sqrt(50) < y. Square both sides of the equation. We get x^2 < 50 < y^2. Obviously, x is between 7 and 8. Also notice, that for integers a,b, (ab)^2/b^2, equals a^2. So let's try values, like 7.1. Using the previous fact, (7.1)^2, equals (71)^2/100. So, (7.1)^2, equals 50.41. Thus, our number is between 7 and 7.1. We find, with a bit of experimentation, that the square root of 50, is 7.07.
