Lawson bought 3 identical shirts online for a total cost of $71.83 including a flat rate of $7.99 for shipping. Which equation w
2 answers:
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(6y - 11)(6y + 11) = ay² - b |use (a - b)(a + b) = a² - b²
(6y)² - 11² =ay² - b
36y² - 121 = ay² - b |add b to both sides
ay² = 36y² - 121 + b |divide both sides by y² ≠ 0
a = (36y² - 121 + b)/y²
(6y)² - 11² =ay² - b
36y² - 121 = ay² - b |add b to both sides
ay² = 36y² - 121 + b |divide both sides by y² ≠ 0
a = (36y² - 121 + b)/y²
Answer:
First image attached
The error was done in Step E, because student did not multiply by the negative sign in numerator. Step E must be
.
Second image attached
The error was done in Step C, because the student omitted the of the algebraic identity
. Step C must be
Step-by-step explanation:
First image attached
The error was done in Step E, because student did not multiply by the negative sign in numerator. The real numerator in Step E should be:
Hence, Step E must be .
Second image attached
The error was done in Step C, because the student omitted the of the algebraic identity
. Step C must be
And further steps are described below:
Step D
Which according to the Quadratic Formula, represents a polynomial with complex roots. That is: (,
,
)
(Conjugated complex roots)
Step E
Step F