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marin [14]
2 years ago
13

How many, and what type of solutions, does3x2−x−5=0 have?

Mathematics
1 answer:
siniylev [52]2 years ago
8 0

Answer:

2 irrational solutions

Step-by-step explanation:

using the quadratic formula:

\frac{ -b \:± \sqrt{b {}^{2} - 4ac }   }{2a}

3x²−x−5=0

where a = 3, b = -1 and c = -5, plug in those values in the quadratic formula

\frac{ - ( - 1)±\sqrt{(1) {}^{2} - 4(3)( - 5) } }{2(3)}

you get two solutions:

\frac{1 +  \sqrt{61} }{6} \:  and \:  \frac{1 -  \sqrt{61} }{6}

both can be written as:

\frac{1± \sqrt{61} }{6}

They are irrational as they cannot be written in the form p/q where p and q are whole numbers (integers)

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