Find the solution set:
2 answers:
Answer:
x = - 1, x =
Step-by-step explanation:
Given
9x² + 4x - 5 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 9 × - 5 = - 45 and sum = + 4
the factors are + 9 and - 5
Use these factors to split the x- term
9x² + 9x - 5x - 5 = 0 ( factor the first/second and third/fourth terms )
9x(x + 1) - 5(x + 1) = 0 ← factor out (x + 1) from each term
(x + 1)(9x - 5) = 0
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
9x - 5 = 0 ⇒ 9x = 5 ⇒ x =
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Assuming I understand your question correctly, in that you’re looking for just some descriptions of the differences between the functions. If so, then I’d say:
First graph both functions, the f(x) and the g(x). Then spot the differences.
Note that the g(x) function has shifted towards the right compared with the f(x) function.
Another way that the g(x) differs from the f(x) function is that it’s stretched. The vertex is in the IV quadrant for g(x) rather than at the origin for f(x).
I hope that helps.
First graph both functions, the f(x) and the g(x). Then spot the differences.
Note that the g(x) function has shifted towards the right compared with the f(x) function.
Another way that the g(x) differs from the f(x) function is that it’s stretched. The vertex is in the IV quadrant for g(x) rather than at the origin for f(x).
I hope that helps.