Which equation has the solutions x equals 1 plus or minus the square root of 5

Mathematics

1 answer:

CaHeK987 [17]3 years ago

6 0

Answer:

d. x2 – 2x – 4 = 0

Step-by-step explanation:

You might be interested in

Solve for 2x^2-4x+5=6

Softa [21]

To solve for a variable, you need to get it (x) by itself.

2x² - 4x + 5 = 6 Subtract 6 from both sides
2x² - 4x - 1 = 0 Plug this into the Quadratic Formula

a = 2 , b = -4 , c = -1
x = $\frac{-b \pm \sqrt{b^2 - 4ac} }{2a}$ Plug in your values
x = $\frac{-(-4) \pm \sqrt{(-4)^2 - 4(2)(-1)} }{2(2)}$ Simplify
x = $\frac{4 \pm \sqrt{16 + 8} }{4}$ Simplify
x = $\frac{4 \pm 2\sqrt{6} }{4}$ Simplify by removing a 2 from every term
x = $\frac{2 \pm \sqrt{6} }{2}$ Simplify by taking the fraction apart
x = $\frac{2}{2} \pm \frac{ \sqrt{6} }{2}$ Change $\frac{2}{2}$ to 1
x = 1 $\pm \frac{ \sqrt{6} }{2}$ Simplify $\frac{ \sqrt{6} }{2}$ to $\sqrt{ \frac{3}{2} }$
x = 1 $\pm \sqrt{ \frac{3}{2} }$

4 0

3 years ago

Rick used a stick to trace a large rectangle in a sandy lot

konstantin123 [22]

Answer:

56 feet

Step-by-step explanation:

Perimeter is what the sum of all sides lengths of a polygon is. So if the retangle measures 13x15 feet, the perimeter would be 13+13+15+15. Because the 13x15 is only two sides, and a retangle has 4 sides. So we need to incorperate the other two sides, which are the same as the others because it is a retangle.

Hope this helps!

8 0

2 years ago

Read 2 more answers

Find the range of the data. scores: 84, 83, 80, 95, 99, 95, 83, 83, 92, 84

In-s [12.5K]

To find the range of these scores, we must take the largest scores and subtract the smallest from it.

The largest score is 99, and the smallest score is 80.

99 - 80 = 19

3 0

3 years ago

Read 2 more answers

If f(x) = 3x - 12, what is f(2)?<br>O A. -18<br>O B. -6<br>O c. 6<br>O D. 18

zhannawk [14.2K]

Replace x with 2:

f(x) = 3x -12:

f(2) = 3(2) - 12

= 6 - 12

= -6

3 0

3 years ago