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# What is 2 1 4 x 2?

Updated: 12/22/2022

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Q: What is 2 1 4 x 2?
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### What is the derivative of the square root of 4-x?

Use the chain rule:d/dx &radic;(4 - x) = d/dx (4 - x)1/2= 1/2 (4 - x)-1/2 x d/dx (4 - x)= 1/2 (4 - x)-1/2 x -1= -1/2 (4 - x)-1/2 or -1/2&radic;(4 - x)

### How do you factor x squared plus x minus one half?

(x^2+x-1/2)= x(x+1)-1/2 [x + (1 - square root of 3)/2][x + (1 + square root of 3)/2] = 0 Check it: x^2 + x/2 + (square root of 3)x)/2 + x/2 + 1/4 + (square root of 3)/4 - (square root of 3)x/2 - (square root of 3)/4 - 3/4 = 0 x^2 + x/2 + x/2 + [(square root of 3)x]/2 - [(square root of 3)x]/2 + (square root of 3)/4 - (square root of 3)/4 + 1/4 - 3/4 = 0 x^2 + x - 2/4 = 0 x^2 + x - 1/2 = 0 How to find this roots: Using the completing the square method: x^2 + x - 1/2 = 0 x^2 + x = 1/2 x^2 + x + 1/4 = 1/2 + 1/4 (x + 1/2)^2 = 3/4 x + 1/2 = (plus &amp; minus)(square root of 3/4) x = -1/2 + (square root of 3)/2 x = - 1/2 - (square root of 3)/2

### 16(x+5)²=1?

16(x+5)**2=1 (x+5)**2=1/16 (x+5)=2root(1/16) (x+5)=1/4 x=1/4-5 x= 1/4-20/4 x=-19/4 16(-19/4+5)**2=1 16(-19/4+20/4)**2=1 16(1/4)**2=1 16(1/16)=1 1=1

### What adds to get 2 and multiplies to get 4?

4 x -1 x -1 = 4 4 + (-1) + (-1) = 2

### What is the solution of x2 plus x plus 1 equals 0?

x2 + x + 1 = 0 &there4; x2 + x + 1/4 = -3/4 &there4; (x + 1/2)2 = -3/4 &there4; x + 1/2 = &plusmn; &radic;(-3/4) &there4; x = - 1/2 &plusmn; (i&radic;3) / 2 &there4; x = (-1 &plusmn; i&radic;3) / 2

### What are the solutions to the equation of 2x squared -x -1 equals 0 done by completing the square with work shown from start to finish?

2*x^2 - x - 1 = 02*x^2 - x = 1[x^2 - x/2] = 1/2[x^2 - x/2 + (1/4)^2] = 1/2 + (1/4)^2(x - 1/4)^2 = 1/2 + 1/16 = 9/16x - 1/4 = +/- sqrt(9/16) = +/- 3/4x = 1/4 +/- 3/4x = -1/2 or x = 1.

### What numbers multiply to get 8?

1, 2, 4, 8: 1 x 8, 2 x 4, 4 x 2, 8 x 1

### What two numbers multiply to get 4?

1 x 4, 2 x 2, 4 x 1

### What times what equals four?

1 x 4, 2 x 2, 4 x 1 = 4

### What is the pattern of 1 8 27?

cube numbers next is 64 1 = 1 x 1 x 1 = 1&sup3; 8 = 2 x 2 x 2 = 2&sup3; 27 = 3 x 3 x 3 = 3&sup3; then 64 = 4 x 4 x 4 = 4&sup3;

### Why -1-1 equals 1?

-1*-1 (-2+1)(-2+1) -2*-2+1*-2+1*-2+1*1 since multiplication is repeated addition then -1*-1*4+(-2)+(-2)+(1) let -1*-1=x -1*-1=-1*-1*4-2-2+1 x=x*4-4+1 x=4x-3 3=4x-x 3=3x 3/3=x 1=x thus -1*-1=x=1