Answer:
31
Step-by-step explanation:
Given
x² + 5x - 3 = 0
with a = 1, b = 5, c= - 3 , then
sum of roots x₁ + x₂ = - 
= - 
= - 5
product of roots = 
= 
= - 3
Now
(x₁ + x₂)² = x₁² + 2x₁x₂ + x₂² , that is
(- 5)² = x₁² + 2(- 3) + x₂²
25 = x₁² - 6 + x₂² ( add 6 to both sides ), then
x₁² + x₂² = 31
The easiest way to do it is to make the numbers into decimals. All you need to do is divide them.
To convert 3/4 into a decimal just divide 3 by 4.
3 / 4 = .75
To get 5 1/2 into a decimal just ignore the 5 for now and divide the 1 by 2.
1 / 2 = .5
Now add the 5 back on and you have 5.5
So far you have converted the equation from (3/4) / 5 1/2 to .75 / 5.5
Now just divide .75 by 5.5
.75 / 5.5 = 1.136 with the 36 repeated
Answer:
10.5
Step-by-step explanation:
cross multiplying:
?/12 = 14/16
16? = 168
? = 10.5
Y = x - 1
y = -5 - 1
y = -6
(x, y) = (-5, -6)
y = x - 1
y = -3 - 1
y = -4
(x, y) = (-3, -4)
y = x - 1
y = 0 - 1
y = -1
(x, y) = (0, -1)
y = x - 1
y = 1 - 1
y = 0
(x, y) = (1, 0)
y = x - 1
y = 2 - 1
y = 1
(x, y) = (2, 1)
8x = 24...divide both sides by 8
x = 24/8
x = 3 <==
