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Sergio039 [100]

3 years ago

11

Consider the equation |(x-3)^2-4|=b. Determine the value of b so that the equation has no solution.

2 answers:

oee [108]3 years ago

3 0

As an absolute value makes any value positive, any negative value of b will cause the equation to be unsolvable.

saul85 [17]3 years ago

3 0

<span>|(x-3)^2-4|=b since this is an absolute value equation

b can have any value less than zero so that the above is never true, in interval notation:

b=(-oo,0)</span>

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vodomira [7]

We would be solving you equation step by step.
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3 years ago

What is a solution to (x + 6)(x + 2) = 60?

Reika [66]

Solution of the equation $(x+6)(x+2)=60$ is x=4 and x=-12

Step-by-step explanation:

We need to solve the equation: $(x+6)(x+2)=60$

Solving:

$(x+6)(x+2)=60$

Multiplying terms on the left hand side

$x(x+2)+6(x+2)=60$

$x^2+2x+6x+12=60$

$x^2+8x+12=60$

$x^2+8x+12-60=0$

$x^2+8x-48=0$

Now factorizing:

$x^2+12x-4x-48=0$

$x(x+12)-4(x+12)=0$

$(x-4)(x+12)=0$

$(x-4)=0\,\,and\,\,(x+12)=0$

$x=4\,\,and\,\,x=-12$

So, solution of the equation $(x+6)(x+2)=60$ is x=4 and x=-12

Keywords: Solving Equations

Learn more about Solving Equations at:

#learnwithBrainly

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