3 years ago

Three less than two times a number is 55. What is the number ?

Mathematics

2 answers:

vampirchik [111]3 years ago

6 0

2x-3=55
You solve the equation as follows:
2x-3=55
-3 -3
2x=52
/2 /2
x= 26
The number is 26

Aloiza [94]3 years ago

5 0

29
2x29=58-3 =55
3-2x (x=29) =55
29x2=58-3

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nasty-shy [4]

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Suppose $p(x)$ is a monic cubic polynomial with real coefficients such that $p(3-2i)=0$ and $p(0)=-52$. determine $p(x)$ (in exp

Maslowich

If $p(3-2i)=0,$ then complex number $3-2i$ is a root of cubic polynomial.

If polynomial has real coefficients, then conjugated $3+2i$ is also a root of polynomial.

Then the polynomial will be of a form

$p(x)=(x-(3-2i))(x-(3+2i))(x-a).$

Since $p(0)=-52,$ then

$-52=(0-(3-2i))(0-(3+2i))(0-a),\\ \\-52=(2i-3)(3+2i)a,\\ \\-52=(4i^2-9)a,\\ \\-52=(-4-9)a,\\ \\-13a=-52,\\ \\a=4.$

Therefore,

$p(x)=(x-(3-2i))(x-(3+2i))(x-4),\\ \\p(x)=(x^2-6x+13)(x-4),\\ \\p(x)=x^3-10x^2+37x-52.$

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2 years ago