What are the possible values of x in 32x + 20 = 28x − 16x2?

Mathematics

2 answers:

ladessa [460]3 years ago

5 0

4x2+x+5=0
(2x+1/4)^2=-79/16
2x+1/4=(√79/4) i or 2x+1/4=-(√79/4) i
x=(√79/8) i -1/8 or -(√79/8) i -1/8

wel3 years ago

4 0

2x+20=−16x2+28xStep 2: Subtract -16x^2+28x from both sides.2x+20−(−16x2+28x)=−16x2+28x−(−16x2+28x)16x2−26x+20=0Step 3: Use quadratic formula with a=16, b=-26, c=20.x=−b±√b2−4ac2ax=−(−26)±√(−26)2−4(16)(20)2(16)x=26±√−60432

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Find the midpoint of PQ P(4 1/3, 3 1/6), Q(-2 1/5, 3 2/3)

Paha777 [63]

Answer:

$(1\frac{1}{15},3\frac{5}{12})$

Step-by-step explanation:

To find the midpoint, you must average the x's then average the y's.

So the x's are $4 \frac{1}{3}$ and $-2\frac{1}{5}$ .

The y's are $3\frac{1}{6}$ and $3\frac{2}{3}$ .

To find an average of a data with 2 elements you must add the two elements then take that sum and divide it by 2.

So this is what we will do with the x's then the y's.

So first x:

$\frac{4\frac{1}{3}+-2\frac{1}{5}}{2}$

Write as improper fractions:

$\frac{\frac{13}{3}+\frac{-11}{5}}{2}$

Division by 2 is the same as multiplying by 1/2:

$\frac{13}{6}+\frac{-11}{10}$

The least common multiple of 6 and 10 is 30. We will multiply first fraction by 5/5 and 3/3 for the second so we can have the same denominator.

$\frac{65}{30}+\frac{-33}{30}$

Now that the bottoms are the same we can write as one fraction:

$\frac{65+-33}{30}$

Simplify:

$\frac{32}{30}$

If you want the answer as a mix fraction like your question began as we can do that by first figuring out how many 30's are in 32 and what is the remainder of that division.

There is one 30 and 32 and so 32-30=2 is the remainder.

$1\frac{2}{30}$