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faltersainse [42]
3 years ago
8

Solve for the roots in simplest form by completing the square x^2-12x+20=0

Mathematics
1 answer:
Alex17521 [72]3 years ago
5 0

Answer:

x = 10 or x = 2

Step-by-step explanation:

Solve for x:

x^2 - 12 x + 20 = 0

Hint: | Solve the quadratic equation by completing the square.

Subtract 20 from both sides:

x^2 - 12 x = -20

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 36 to both sides:

x^2 - 12 x + 36 = 16

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x - 6)^2 = 16

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x - 6 = 4 or x - 6 = -4

Hint: | Look at the first equation: Solve for x.

Add 6 to both sides:

x = 10 or x - 6 = -4

Hint: | Look at the second equation: Solve for x.

Add 6 to both sides:

Answer: x = 10 or x = 2

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A total of 430 tickets were sold for the school play . They were either adult tickets or student tickets . There were 70 fewer s
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So first we assume that half is adult and have is student.

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Now since it said they were 70 less student tickets than adult tickets we subtract 70.
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215 + 70 = 285

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I hope this helped. Have a great day!
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3 years ago
How many solutions does the nonlinear system of equations graphed below have?
Ostrovityanka [42]

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4 0
3 years ago
What is the equation of the line that passes through the point (4, 6) and is parallel to the line 2y - 4x = 1?
Cloud [144]

Answer:

D. y = 2x - 2

Step-by-step explanation:

1) First, find the slope of the given line. Place it in slope-intercept form to identify its slope easily. Isolate the y in the equation:

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A line placed in slope-intercept form is represented by the formula y = mx + b. The m, or the coefficient of the x-term, represents the slope. Thus, the slope of this line is 2.

2) Lines that are parallel share the same slope. So, the slope of the parallel line will have 2 as its slope as well.

We now have enough information to write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form and find out which option is correct.

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3 years ago
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