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attashe74 [19]
3 years ago
11

2. Explain and correct the error made by a student who simplified this expression.

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
6 0

Answer:

what this student did was distribute the x to all 3 numbers when what they should have done was just combine 7x and -2x, and the answer should be 5x +8

Step-by-step explanation:

By the student placing x on the outside they are making the equation seem as if 8 also had an x. However if we look at the original problem 8 does not have any variable so right away that was their first mistake. Instead they had to find the numbers that had similar values. In this case it is negative 2x and 7x. We combine those two to get 5x+8 we cannot combine these two because as said previously 8 doesnt have a variable. so the answer stays with the expression 5x+8

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diamong [38]
ANSWER

x = - 2 \pm i

EXPLANATION

We use the method of completing the squares.

The equation is
3 {x}^{2} = - 12x - 15

We rewrite the above equation to obtain;

3 {x}^{2} + 12x = - 15

We divide through by 3 to obtain;

{x}^{2} + 4x = - 5

We add half the coefficient of
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to both sides of the equation to get,

{x}^{2} + 4x + {2}^{2} = - 5 + {2}^{2}

The right hand side is now a perfect square.

{(x + 2)}^{2} = - 1

We now take square root of both sides to get;

x + 2 = \pm \sqrt{ - 1}

We add -2 to both sides,

x = - 2 \pm \sqrt{ - 1}

We simplify to obtain,

x = - 2 \pm i
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Answer:

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