If a^2=b^2, does a=b? Explain and justify your answer.

Mathematics

1 answer:

anygoal [31]2 years ago

4 0

Answer:

not necessarily

Step-by-step explanation:

Taking the square root of both sides, you have ...

±a = ±b

Those four cases resolve to two unique cases:

a = ±b

The given equation will be true if a = b or if a = -b. If a and b are constrained to have the same sign, then a=b is the only solution.

You might be interested in

What is the value of x in the diagram below?

elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

This is a parallelogram. In parallelogram, opposite sides are equal.

x + 3 = 6

x = 6 - 3

x = 3

4 0

2 years ago

Read 2 more answers

Evaluate 1/3m-1-1/2n when m=21 and n=12

stellarik [79]

Answer:

Step-by-step explanation:

8 0

2 years ago

Plz Solve Will Mark Brainliest and No Stealing Points Or Will Report<br> Part 2

jonny [76]

Answer:

Before we graph $y = -\frac{1}{2}x,$ we know that the slope, mx, could be read as $\frac{rise}{run}$ . To graph the the equation of the line, we begin at the point (0,0). From that point, because our rise is negative (-1), instead of moving upwards or vertically, we will move downards. Therefore, from point 0, we will vertically move downwards one time. Now, our point is on point -1 on the y-axis. Now, we have 2 as our run. From point -1, we move to the right two times. We land on point (2,-1). Because we need various points to graph this equation, we must continue on. In the end, the graph will look like the first graph given.

For the equation y = 2, the line will be plainly horizontal. Why? Because x has no value in the equation. The variable $x$ does not exist in this linear equation. Therefore, it will look like the second graph below. We graph this by plotting the point, (0,2), on the y-axis.