What is the first step in solving the quadratic equation x2 - 40 = 0?
taking the square root of both sides of the equation
adding 40 to both sides of the equation
squaring both sides of the equation
subtracting 40 from both sides of the equation
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dd

the first step is adding 40 to both sides of the equation

Step-by-step explanation:

Solving the quadratic equation means we solve the equation for x

To solve for x we need to isolate x^2

To isolate x^2, remove -40 from the left hand side

In order to remove -40 we do opposite operation

Opposite of -4 is +40

So we add 40 on both sides of the equation

the first step is adding 40 to both sides of the equation

adding 40 on both sides

Step-by-step explanation:

I definitely would not take the square root of both sides as my first step...

Adding 40 on both sides would give me x^2=40

That looks like an amazing first step because there is only one more thing after which is taking square root of both sides.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x