Since we want to solve for the variable <em>x</em>, we want to isolate <em>x</em>
a²x + (a - 1) = (a + 1)x ⇒ Distribute <em>x</em> to (a+1). Also, remove parentheses
a²x + a - 1 = ax + x ⇒ Subtract <em>a</em> from both sides
a²x - 1 = ax + x - a ⇒ Add 1 to both sides
a²x = ax + x - a + 1 ⇒ Subtract (ax + x) from both sides
a²x - (ax + x)= ax + x - a + 1 - (ax+x) ⇒ Simplify. Remember that multiplying positive by negative = negative
a²x - ax - x = ax + x - a + 1 - ax - x ⇒ Simplify
a²x - ax - x = -a + 1 ⇒ Factor out the <em>x</em> from a²x - ax - x
x(a² - a - 1) = -a + 1 ⇒ Divide both sides by (a² - a - 1)
<u>x = (-a + 1) / (a² - a - 1)</u>
However, we need to make sure that the denominator does not equal 0. Therefore, you set the denominator = 0 (just use the quadratic formula for this), and it gives that the denominator =0 when a = (1+√5)/2 AND (1-√5)/2
Therefore, the final answer is
x = (-a + 1) / (a² - a - 1) given that a ≠ (1+√5)/2, a ≠ (1-√5)/2
Answer:
Final answer is .
Step-by-step explanation:
Given expression is .
Now we need to find the fourth term of the given expression . So apply the nth term formula using binomial expansion.
exponent n=8
4th term means we use r=4-1=3
x=2,
rth term in expansion of is given by formula:
Hence final answer is .
Answer:
Gwen's ACT score is 1.2 standard deviations above the mean
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Answer:
x=-6
Step-by-step explanation:
−5x+10=40
−5x+10−10=40−10
−5x=30
−5x/5=30/5
x=−6
Answer:
4th set
Step-by-step explanation:
Whole numbers are integers. Integers are any unmber that doesn't have a fraction, decimal, or square root (ex. -3, -2, -1, 0, 1, 2, 3). The only set that has these kinds of numbers is the fourth set.