How do you solve #x(x4)2=43#?
:)
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To solve the equation (x(x4)2=43):

Expand and simplify the left side of the equation: (x(x4)2 = x^2  4x  2)

Set the equation equal to 43: (x^2  4x  2 = 43)

Subtract 43 from both sides to set the equation to zero: (x^2  4x  2  43 = 0) (x^2  4x  45 = 0)

Now, we have a quadratic equation in the form (ax^2 + bx + c = 0), where (a = 1), (b = 4), and (c = 45).

To solve for (x), you can use the quadratic formula: (x = \frac{{b \pm \sqrt{{b^2  4ac}}}}{{2a}})

Substitute the values: (x = \frac{{(4) \pm \sqrt{{(4)^2  4 \cdot 1 \cdot (45)}}}}{{2 \cdot 1}})

Simplify under the square root: (x = \frac{{4 \pm \sqrt{{16 + 180}}}}{2}) (x = \frac{{4 \pm \sqrt{{196}}}}{2})

Simplify the square root: (x = \frac{{4 \pm 14}}{2})

Simplify further: (x_1 = \frac{{4 + 14}}{2} = \frac{{18}}{2} = 9) (x_2 = \frac{{4  14}}{2} = \frac{{10}}{2} = 5)
So, the solutions to the equation (x(x4)2=43) are (x = 9) and (x = 5).
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To solve the equation x(x4)2=43, follow these steps:
 Expand the expression x(x4) to get x^2  4x.
 Rewrite the equation as x^2  4x  2 = 43.
 Move 43 to the left side of the equation by subtracting 43 from both sides: x^2  4x  2  43 = 0.
 Combine like terms: x^2  4x  45 = 0.
 Factor the quadratic equation: (x  9)(x + 5) = 0.
 Set each factor equal to zero and solve for x:
 Set x  9 = 0 and solve for x: x = 9.
 Set x + 5 = 0 and solve for x: x = 5.
Therefore, the solutions to the equation are x = 9 and x = 5.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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