2 years ago

Use the discriminant to determine the kinds of numbers that satisfy the equation 5x = x² - 3. Do not solve.

1 answer:

5 0

Kakakakakakakakakakakakakskak

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Phantasy [73]

Answer: a = -2/3

Step-by-step explanation:

Let's start by multiplying both sides by $x$ to simplify:

$4^{1/3} = x^a \times x$

$4^{1/3} = \underbrace{x \times x \times x \times \cdots \times x}_{a\ \textrm{times}} \times \,x$

$4^{1/3} = \underbrace{x \times x \times x \times \cdots \times x \times x}_{a+1\ \textrm{times}}$

$4^{1/3} = x^{a+1}$

Looking only at the exponents, it seems like $1/3 = a+1$ , so $a = \boxed{-2/3}$ .

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frosja888 [35]

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