2 years ago

(2x+3)²=5.find the roots of the equation

Mathematics

1 answer:

bija089 [108]2 years ago

4 0

Answer:

-2.61803398875, -0.38196601125

(-3±√5)/2

Step-by-step explanation:

First, expand. (2x+3)² = 4x²+12x+9=5

4x²+12x+4 = 0

Quadratic equations take the form ax²+bx+c = 0

In this case,

a = 4

b = 12

c = 4

You can solve with the equation x=(-b±√b²-4ac)/2a

Plug in:

(-12±√144-64)/8

(-12±√80)/8

(-12±√2^4×5)/8

(-12±4√5)/8

(-3±√5)/2

Final answer x = (-3±√5)/2

If you want decimal form: -2.61803398875, -0.38196601125

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26 out of the 65 magazines at the bookstore are women's magazines. What percentage of the magazines at the bookstore are women's

egoroff_w [7]

The fraction $\frac{26}{64}$ represents the number of women's magazines out of all the other magazines at the book store.

To find what percent of the magazines are women's magazines, we can turn $\frac{26}{64}$ into a percent.

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40% is the answer

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