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hram777 [196]
2 years ago
6

Use the discriminant to describe the roots of each equation. Then select the best description. 2 = x2 + 5x. A) Double root B) Re

al and Rational roots C) Real and Irrational roots D)Non-Real roots
Mathematics
1 answer:
fredd [130]2 years ago
3 0

\bf 2=x^2+5x\implies 0=x^2+5x-2\\\\\\\qquad \qquad \qquad \textit{discriminant of a quadratic}\\\\\\0=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+5}x\stackrel{\stackrel{c}{\downarrow }}{-2}~~~~~~~~\stackrel{discriminant}{b^2-4ac}=\begin{cases}0&\textit{one solution}\\positive&\textit{two solutions}\\negative&\textit{no solution}\end{cases}\\\\\\(5)^2-4(1)(-2)\implies 25+8\implies 33


so we have a 33, namely two real solutions for that quadratic.


usually that number goes into a √, if you have covered the quadratic formula, you'd see it there, namely that'd be equivalent to √(33), now 33 is a prime number, and √(33) is yields an irrational value, specifically because a prime number is indivisible other than by itself or 1.


so 33 can only afford us two real irrational roots.

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<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

3 ( x ) + 55 = 85

Answer To Solving Y:

Let's solve your equation step-by-step.

3x + 55 = 85

Step 1: Subtract 55 from both sides.

3x + 55 − 55 = 85 − 55

3x = 30

Step 2: Divide both sides by 3.

3x / 3 = 30 / 3

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<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer To The Angle:

( 3 ) ( 10 ) + 55 = 85

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

2 ( y ) - 5 = 95

Answer:

Let's solve your equation step-by-step.

2y − 5 = 95

Step 1: Add 5 to both sides.

2y − 5 + 5 = 95 + 5

2y = 100

Step 2: Divide both sides by 2.

2y / 2 = 100 / 2

y = 50

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer To The Angle:

( 2 ) ( 50 ) − 5 = 95

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Please don't come at me if I am wrong.....:\

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

But, the anwer should be 180 degrees

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