Factoring Special Cases (400 - 36x^2)

1 answer:

const2013 [10]3 years ago

5 0

Factor out a GCF of 4, then you are left with perfect squares.
4(100-9x^2)
Factor what is left as a difference of perfect squares (the outside and inside terms from FOIL should cancel out which is why each parenthesis has a different sign
f(10+3x)(10-3x)

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When 60% of a number is added to the number, the result is 192

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3 years ago

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allochka39001 [22]

Answer:

x = -2.5
x = 2

Step-by-step explanation:

Hello!

We can remove the denominators by multiplying everything by it.

Solve:

$\frac{5}{x + 3} + \frac4{x + 2} = 2$
$5 + \frac{4(x + 3)}{x + 2} = 2(x + 3)$
$5 + \frac{4x + 12}{x + 2} = 2x + 6$
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Let's make one side equal to 0.

$0 = 2x^2 + x - 10$

Solve by factoring, and then the zero product property.

$0 = 2x^2 + x - 10\\$

Multiply 2 and -10. You get -20. Think of two number that multiply to -20, and add to 1. If we think about the standard form of a quadratic, $ax^2 + bx + c$ , think two numbers that equal "ac" and add up to "b".