2 years ago

Find the solutions of the quadratic equation x^2 - 10x + 14 = -4 by completing the square

Mathematics

1 answer:

Anna [14]2 years ago

5 0

Answer:

x1=-(square)7+5 x2=(square)7+5

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Solve the simultaneous equations. You must show all your working to find x and y. 1/2x -3y = 9 5x y + y = 28

Anastaziya [24]

The right question is:

$\frac{1}{2}x - 3y = 9$

$5x + y = 28$

Answer:

$x = 6$

$y = -2$

Step-by-step explanation:

Given

$\frac{1}{2}x - 3y = 9$

$5x + y = 28$

Required

Solve for x and y

Make y the subject of formula in the second equation

$y = 28 - 5x$

Substitute $y = 28 - 5x$ in the first equation

$\frac{1}{2}x - 3(28 - 5x) = 9$

Open the bracket

$\frac{1}{2}x - 3*28 - 3*- 5x = 9$

$\frac{1}{2}x - 84 + 15x = 9$

Collect Like Terms

$\frac{1}{2}x + 15x = 9+ 84$

$\frac{x}{2} + 15x = 9+ 84$

$\frac{x+30x}{2} = 93$

$\frac{31x}{2} = 93$

Multiply both sides by 2

$2 * \frac{31x}{2} = 93 * 2$

$31x = 186$

Divide both sides by 31

$\frac{31x}{31} = \frac{186}{31}$

$x = \frac{186}{31}$

$x = 6$

Recall that $y = 28 - 5x$

So;

$y = 28 - 5 * 6$

$y = 28 - 30$

$y = -2$

Hence;

$x = 6$ and $y = -2$

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2 years ago

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A snail moves at a speed of about 153.54 feet per hour. What is the snail's speed in inches per minute? Round the answer to the

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The answer is C. 60 / 12 = 5 153.54 / 5 = 30.71

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2 years ago

4/5-1/2 help ASAP NEED THIS ANSWER FOR TEST

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Answer:

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$\frac{3}{10}$

Step-by-step explanation:

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Hitman42 [59]

Answer:

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Step-by-step explanation:

Remember, your units have to match, so

3 in : 1 ft

doesn't look right, change 1 ft to 12 in.

3 in : 12 in

reduce by 3

1 : 4

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3 years ago

Square root of 3x^2y^3 times 2 square root of 72x^3y^4

galina1969 [7]

I hope this helps you

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Find the solutions of the quadratic equation x^2 - 10x + 14 = -4 by completing the square​

Find the solutions of the quadratic equation x^2 - 10x + 14 = -4 by completing the square