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
6.5x^2 + 5.5x + 1
6.5 x * x + 5 .5 x + 1 can be re-written as 6.5x^2 + 5.5x + 1, or as:
65x^2 + 55 + 10
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10
B. 5, 7, 8
When you take the sum of the squares of 5 and 7 they are greater than the square of 8.
5² + 7² = 8² Simplify
25 + 49 = 64 Add
74 > 64
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4 / 6
Fred fraction = 2/3
Sarah formed a fraction by dividing her number line into 6 equal pieces. This is given as;
x / 6
Since her fraction is equal to that of fred, we have;
x / 6 = 2 / 3
x = 6 * 2 / 3 = 4
Sarah Fraction = 4 / 6
