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Feliz [49]
3 years ago
7

Solve for x.

Mathematics
1 answer:
Fofino [41]3 years ago
5 0
Okay so the first thing you want to do is distribute the -3, meaning you’re going to multiple both of the values in the parenthesis by -3. then you’ll combine like terms, meaning -2x and -3x which will equal -5x. then you want to get any values with x by itself, so you’ll add 15 to each side to move it over. Then you need to get x by itself, so you divide each side by negative 5. This leaves your answer as -1

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Select the correct answer from each drop-down menu.
mr_godi [17]

Answer:

correct option for first blank is 5/4 and for second blank is \frac{ 3i\sqrt{7}}{4}

i.e m= \frac{5}{4}\pm\frac{ 3i\sqrt{7}}{4}

Step-by-step explanation:

The given equation

m^2 - \frac {5m}{2} = \frac{-11}{2}

and we have to find m= ______ ± ________

We can use quadratic formula to solve this question.

The above equation can be written as: m^2 - \frac {5m}{2} + \frac{11}{2} = 0

and the formula used will be:

m= \frac{-b\pm\sqrt{b^2-4ac}}{2a}

Putting values of a= 1, b= -5/2 and c= 11/2 and solving we get:m=\frac{-\frac{-5}{2}\pm\sqrt{{(\frac{-5}{2})}^2-4(1)(\frac{11}{2})}}{2(1)}\\\\m=\frac{\frac{5}{2}\pm\sqrt{(\frac{25}{4})-22}}{2}\\m=\frac{\frac{5}{2}\pm\sqrt{(\frac{-63}{4})}}{2}\\m= \frac{\frac{5}{2}}{2}\pm\frac{\sqrt{(\frac{-63}{4})}}{2}\\m= \frac{5}{4}\pm\frac{\sqrt{-63}}{4}

Since there is - sign inside the √ so \sqrt{-1} is equal to i and we have to divide \sqrt{63} into its multiples such that the square root of one multiple is whole no so,

\sqrt{63}  = \sqrt{9}* \sqrt{7}=3* \sqrt{7}

Putting value of \sqrt{63} and \sqrt{-1}

the value of m= \frac{5}{4}\pm\frac{ 3i\sqrt{7}}{4}

so, correct option for first blank is 5/4 and for second blank is \frac{ 3i\sqrt{7}}{4} .

7 0
3 years ago
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GrogVix [38]

Answer:

<em>Well, The best answer will be is </em><em>y = 2. Good Luck!</em>

3 0
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Combine like terms

6x+1 = 2x+89

Subtract 2x from each side

4x+1 = 89

Subtract 1 from each side

4x = 88

Divide by 4

4x/4 = 88/4

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