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2 years ago

How do I solve equations with a variable to the power of something (give steps please)

Mathematics

2 answers:

kodGreya [7K]2 years ago

6 0

Answer:

$x = 0, -\frac{5}{2}$

Step-by-step explanation:

First move all terms to one side of the equation to set them equal to 0

That is already done in your problem

The try to factor, if possible. In your case, factor out x

x(2x + 5) = 0 Now, use the property that says if AB = 0, then A = 0 or B = 0 or both A and B equal 0

So, x = 0 or 2x + 5 = 0

2x = -5

x = $-\frac{5}{2}$

Always check your results in the original equation to see if they work

$2(0^{2} + 5(0) = 0 + 0 = 0\\$

and $2(-\frac{5}{2} )^{2} + 5(-\frac{5}{2} )\\ = 2(\frac{25}{4} ) - \frac{25}{2} \\ = \frac{25}{2} - \frac{25}{2} = 0$

Both results make the equation true, so $x = 0, -\frac{5}{2}$

lozanna [386]2 years ago

5 0

Answer:

Step-by-step explanation:

Factoring will reveal the solution. So we divide the equation by the greatest common factor of the terms and use that factor as the coefficient. In this case the greatest common factor is just x.

2x^2+5x

x(2x+5) so the equation will equal zero when either of those expressions is zero because zero times anything is zero. x=0 and x=-5/2

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3 years ago

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(x – 0)2 = 4(y – 0)This rearrangement "shows" that the vertex is at (h, k) = (0, 0). The axis of symmetry is the vertical line right through the vertex: x = 0. (I can always check my graph, if I'm not sure about this.) The focus is "p" units from the vertex. Since the focus is "inside" the parabola and since this is a "right side up" graph, the focus has to be above the vertex.From the conics form of the equation, shown above, I look at what's multiplied on the unsquaredpart and see that 4p = 4, so p = 1. Then the focus is one unit above the vertex, at (0, 1), and the directrix is the horizontal line y = –1, one unit below the vertex.vertex: (0, 0); focus: (0, 1); axis of symmetry: x = 0; directrix: y = –1Graph y2 + 10y + x + 25 = 0, and state the vertex, focus, axis of symmetry, and directrix.Since the y is squared in this equation, rather than the x, then this is a "sideways" parabola. To graph, I'll do my T-chart backwards, picking y-values first and then finding the corresponding x-values for x = –y2 – 10y – 25:To convert the equation into conics form and find the exact vertex, etc, I'll need to convert the equation to perfect-square form. In this case, the squared side is already a perfect square, so:y2 + 10y + 25 = –x 
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8. Which expression is greatest? Justify your answer. a. 4 X -5 b. -5 + 4 c. -4- (-5)

vladimir1956 [14]

Answer:

Step-by-step explanation:

i think this is the greatest because if you solve all of the expressions you will find out that this is the greatest.

a.4×-5=-20

b.-5+4=-1

c.-4-(-5)=1

therefore 1 is the greatest so the expression c is the greatest.

I hope this helps

3 0

3 years ago

Read 2 more answers