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Alekssandra [29.7K]
3 years ago
9

Which of the following is a solution of x2 − 10x = −36?

Mathematics
1 answer:
Masteriza [31]3 years ago
3 0

Answer:

Option D, 5 plus i square root of 11

Step-by-step explanation:

We have to find the solution of x² - 10x = -36

x² - 10x = -36

x² - 10x + 36 = 0

x² - 2(5x) + 25 + 11 = 0

(x-5)² + 11 = 0

(x-5)² = -11

(x-5) = √(-11)

x = 5 + i√11   [ since √(-1) = i]

Option D 5 plus i square root of 11 is the answer.

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yan [13]

Given:

$\frac{x+4}{x-1}-\frac{5}{x^{2}-1}

To find:

The simplified rational expression by subtraction.

Solution:

Let us factor x^2-1. It can be written as x^2-1^2.

x^2-1^2=(x-1)(x+1) using algebraic identity.

$\frac{x+4}{x-1}-\frac{5}{x^{2}-1}=\frac{x+4}{x-1}-\frac{5}{(x+1)(x-1)}

LCM of x-1,(x+1)(x-1)=(x+1)(x-1)

Make the denominators same using LCM.

Multiply and divide the first term by (x + 1) to make the denominator same.

                        $=\frac{(x+4)(x+1)}{(x-1)(x+1)}-\frac{5}{(x-1)(x+1)}

Now, denominators are same, you can subtract the fractions.

                        $=\frac{(x+4)(x+1)-5}{(x-1)(x+1)}

Expand (x+4)(x+1)-5.

                        $=\frac{x^2+4x+x+4-5}{(x-1)(x+1)}

                        $=\frac{x^{2}+5 x-1}{(x-1)(x+1)}

$\frac{x+4}{x-1}-\frac{5}{x^{2}-1}=\frac{x^{2}+5 x-1}{(x-1)(x+1)}

6 0
3 years ago
At a preschool 16 of the students are four years old of a four year olds 3/8 attended the full day program how many other studen
Nikitich [7]

Answer:

6 students at the preschool of four years old attended the full day program.

Step-by-step explanation:

Given:

Number of four years old students = 16

fraction of four years old students attended full day program = \frac{3}{8}

We need to find the number of four years old students attended the full day program.

Solution:

Now we can say that;

number of four years old students attended the full day program is equal to fraction of four years old students attended full day program multiplied by Number of four years old students.

framing in equation form we get;

number of four years old students attended the full day program = \frac38\times 16 =6

Hence 6 students at the preschool of four years old attended the full day program.

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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