Sam was asked to evaluate the expression 5x+3x+20 for X = 100. Sam's work shown below. Sam's work: 5x+3x+20 = 100 8x+20 = 100 8x
2 answers:
Answer:
The value of given expression for x=100 is 820.
He should substitute the value of x in the given expression instead of equating it to 100.
Step-by-step explanation:
The given expression is
Sam want to evaluate the expression 5x+3x+20 for x = 100.
Substitute x=100 in the given expression.
The value of given expression for x=100 is 820.
Sam make his mistake in first step. He equate the given expression to 100.
He should substitute the value of x in the given expression instead of equating it to 100.
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Answer:
x = 1 or x = ± i
Step-by-step explanation:
Note the sum of the coefficients
1 - 1 + 1 - 1 = 0
This indicates that x = 1 is a root, thus (x - 1) is a factor
Using long division or synthetic division, then
x³ - x² + x - 1 = (x - 1)(x² + 1), thus
(x - 1)(x² + 1) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x² + 1 = 0 ⇒ x² = - 1 ⇒ x = ± = ± i