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LenaWriter [7]
3 years ago
13

Explain the steps used to solve x - 2 = v(x + 10) and check for extraneous solutions.

Mathematics
1 answer:
Ede4ka [16]3 years ago
8 0
---------------------------------------------------
Question
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x - 2 = √<span>(x + 10) 

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Square both sides
</span>---------------------------------------------------
(x - 2)² = (√(x + 10))²
(x - 2)² = (x + 10)   ← square and square root would will net off each other

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Remove brackets
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x² - 4x + 2² = x + 10
x² - 4x + 4 = x + 10

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minus x + 10 on both sides
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x² - 4x + 4 - x - 10 = 0
x² - 5x - 6 = 0

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Factorise the left side
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(x - 6)(x + 1) = 0

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Apply zero product property 
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x -6 = 0  or  x +1 = 0

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Solve x
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x = 6 or x = -1

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Answer: x = 6 or x = -1
---------------------------------------------------
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When given the equation y = 3/4x − 6 , Find the x intercept and y intercept.
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Answer:

the y-intercept is (0,-6)

the x-intercept is (8,0)

Step-by-step explanation:

<em>Solving for the y-intercept:</em>

Since the equation 'y=3/4x - 6' is in the 'y=mx + c' form (where m is the slope and c is the y-intercept):

3/4 is m (which is the slope)

-6 is c (which is the y-intercept)

<em>Solving for the x-intercept:</em>

When the line intersects with the x-axis, the y-value is 0. Hence, the coordinate is (x,0). Substituting this into 'y=3/4x - 6':

0 = 3/4x - 6

3/4x - 6 + 6 = 6

3/4x = 6

x = 4/3 * 6

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Hence,

the y-intercept is (0,-6)

the x-intercept is (8,0)

<em>Hope this helps and be sure to have a wonderful time ahead at Brainly! :D</em>

7 0
2 years ago
1st answer will be brainliest
dsp73
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