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faust18 [17]
3 years ago
6

What is the answer plz?

Mathematics
1 answer:
irga5000 [103]3 years ago
4 0

Answer:

1\frac{9}{12}

Step-by-step explanation:

Convert any whole numbers to improper fractions

\frac{9}{4}-\frac{3}{6}

Find the LCM of the denominators and use multiplication to change the denominators to the LCM

\frac{27}{12}-\frac{6}{12}

Subtract

\frac{21}{12}

Simplify

1\frac{3}{4}

1\frac{9}{12} can be simplified to 1\frac{3}{4} so the answer is 1\frac{9}{12}

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Step-by-step explanation:

3x+x^2=-7\\\Rightarrow x^2+3x+7=0

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D=b^2-4ac\\\Rightarrow D=3^2-4\times 7\times 1\\\Rightarrow D=-19

If the discriminant is a negative number then the roots of the equation are imaginary

x=\frac{-b\pm \sqrtD}{2a}\\\Rightarrow x=\frac{-3\pm \sqrt{-19}}{2\times 1}\\\Rightarrow x=-\frac{3}{2}\pm \frac{\sqrt{19}i}{2}\\\Rightarrow x=-\frac{3}{2}+\frac{\sqrt{19}i}{2}, x=-\frac{3}{2}-\frac{\sqrt{19}i}{2}

So, the two solutions are -\frac{3}{2}+\frac{\sqrt{19}i}{2} and -\frac{3}{2}-\frac{\sqrt{19}i}{2}

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