3 years ago

Find the value of x. Then tell weather the side lengths form a Pythagorean triple.

Mathematics

1 answer:

Oxana [17]3 years ago

4 0

1. x= 27.6

2. x= 41

3. x= 30.2

I'm not sure what the triple thing is but hoped I helped with the other stuff.

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Bumek [7]

Answer: 6

The sides are equal.

Thus

$3x-6=x+2\\2x=8\\x=4$

$JP=x+2=4+2=\boxed{6}$

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3 years ago

Read 2 more answers

Use synthetic division to show that the number given to the right of the equation is a solution of the equation. Then solve the

AysviL [449]

Answer:

$x = 2 \: or \: x = - 2 \: or \: x = - \frac{1}{2}$

Step-by-step explanation:

The given polynomial equation is

$2 {x}^{3} + {x}^{2} - 8x - 4 = 0$

We perform the synthetic division as shown in the attachment by dividing by x-2.

This gives a remainder of 0 and a quotient of

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This means the polynomial equation becomes:

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We factor the quadratic term by splitting the middle term;

$(x - 2)(2 {x}^{2} + 4x +x + 2) = 0$

$(x - 2)(2 x(x+ 2) +1(x + 2) )= 0$

Collect common factors again:

$(x - 2)((x+ 2)(2x + 1) = 0$

The solution is:

$x = 2 \: or \: x = - 2 \: or \: x = - \frac{1}{2}$

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