x² – 3x – 3 = 0
First, add 3 to both sides
x² – 3x – 3 (+3)= 0 (+3)
x² – 3x = 3
Solve for a. 2ax = -3x; a = -3/2
x² - 3x + (-3/2)² = 3 + (-3/2)²
Simplify
x² - 3x + (-3/2)² = 21/4
Complete the square
(3 - 3/2)² = 21/4
solve:
x - 3/2 = √(21/4); x = (√21 + 3)/2
x - 3/2 = -√(21/4); x = ((-√21) + 3)/2
Answers:
x = ((√21) + 3)/2 & x = ((-√21) + 3)/2
hope this helps
Hello!
I believe the answer is X = -0.79, 3.79.( rounded to nearest hundredth )
I hope it helps!
Answer:
1.16
Step-by-step explanation:
the answer is to simplify and then add
To solve for 'b' when 'a' = 21 in a direct variation relationship where 'a' = 7 when 'b' = 2, first determine the constant of proportionality. Then, insert 'a' into the formula and solve for 'b'. The solution of 'b' would be 6.
In this scenario, we are given that a varies directly as b, which means we can state this relationship as a = kb, where k is a constant of proportionality. Initially, we're given that a = 7 when b = 2. From this, we can find that k = a / b, so k = 7 / 2 = 3.5. Therefore, our direct variation equation is a = 3.5b.
When a = 21, we can substitute this into the direct variation equation and solve for b. Thus, 21 = 3.5b, and by dividing both sides by 3.5, we can find that b = 6.
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