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inessss [21]
2 years ago
12

One of the five quadratics below has a repeated root. (The other four have distinct roots.) What is the repeated root?

Mathematics
1 answer:
pychu [463]2 years ago
6 0

Answer:

  (c)  8x^2 -32x +32, repeated root is x=2.

Step-by-step explanation:

A quadratic with repeated roots will be a multiple of a perfect square trinomial. The form of it will be ...

  a(x -b)² = ax² -2abx +ab² = a(x² -2bx +b²)

Dividing by the leading coefficient will leave a monic quadratic whose constant is a (positive) perfect square, and whose linear term has a coefficient that is double the root of the constant.

__

<h3>-x^2 + 18x + 81</h3>

Dividing by the leading coefficient gives ...

  x^2 -18x -81 . . . . . a negative constant

__

<h3>3x^2 - 6x + 9</h3>

Dividing by the leading coefficient gives ...

  x^2 -2x +3 . . . . . . constant is not a perfect square

__

<h3>8x^2 - 32x + 32</h3>

Dividing by the leading coefficient gives ...

  x^2 -4x +4 = (x -2)^2 . . . . . has a repeated root of x=2

__

<h3>25x^2 - 30x - 9</h3>

Dividing by the leading coefficient gives ...

  x^2 -1.2x -0.36 . . . . . . a negative constant

__

<h3>x^2 - 14x + 196</h3>

The x-coefficient is not 2 times the root of the constant.

  14 = √196 ≠ 2√196

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denis-greek [22]

Answer:

\frac{9}{16}\ yd.^2

Step-by-step explanation:

Area of a square: a^2 = a*a

A = a^2\\\\A = \frac{3}{4}* \frac{3}{4}\\\\A =  \frac{9}{16}

Therefore, the answer of the scarf is \frac{9}{16}\ yd.^2

Hope this helps!

8 0
2 years ago
Having trouble with add or subtracting the given polynomials
Bumek [7]

7.

(2b^2+7b^2+b)+(2b^2-4b-12)

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8.

(7g^3+4g-1)+(2g^2-6g+2)

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7g^3-2g+1+2g^2

7g^3+2g^2-2g+1

Hope this helps!

3 0
3 years ago
Read 2 more answers
) Today there is a discount of $10 off a purchase of 5 or more concert tickets.
antiseptic1488 [7]

Answer:

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Step-by-step explanation:

5*cost-10

5 0
2 years ago
FRÉD AND ETHEL WACHED TV FOR SEVERAL HOURS ONE AFTERNOON. THEY BEGAN AT 1:30 P.M AND CONTINUED WACHING TV FOR 3 HOURS AND 45 MIN
QveST [7]

30 + 45 =75
3 + 1 = 4
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7 0
3 years ago
4 times a number is 16​
andrey2020 [161]

Answer:

4 times 4 equals 16

Step-by-step explanation:

4 times 1= 4

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4 times 4= 16

you add 4 after each result.

4 0
3 years ago
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