The solution of x in -6 + 3x - 9x^2 = -16 is
The equation is given as:
-6 + 3x - 9x^2 = -16
Add 16 to both sides
10 + 3x - 9x^2 = 0
Rewrite as:
9x^2 - 3x - 10 = 0
Solve for x using the quadratic formula
So, we have:
Evaluate
Hence, the solution of x in -6 + 3x - 9x^2 = -16 is
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Sarah bought 3 bracelets and 2 pairs of sunglasses.
Step-by-step explanation:
Total items bought = 5 items
Total spent = $24
Cost of one bracelet = $5
Cost of pair of sunglasses = $4.50
Let,
x be the number of bracelet bought.
y be the number of sunglasses bought.
According to given statement;
x+y=5 Eqn 1
5x+4.50y=24 Eqn 2
Multiplying Eqn 1 by 5
Subtracting Eqn 2 from Eqn 3
Dividing both sides by 0.50
Putting in Eqn 1
Sarah bought 3 bracelets and 2 pairs of sunglasses.
Keywords: linear equations, subtraction
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