3 x 7 + 0 = 21
x2-4x-21 = 0 => x = -3 or x = 7 x2-3x-18 = 0 => x = -3 or x = 6
10x2 +4x + 21 = 0=> 4*x +10*x^2 +21 = 0Complex roots:Root 1: -0.2-1.435 * iRoot 2: -0.2+1.435 * i
7x-3y=21 Think of it this way. Block 3y or multiply 3(0)=0. Then you get: 7x=21 X=3 In vice versa, block 7x or multiply 7(0)=0 and look at: 3y=21 Y=7 So an ordered pair is (x,y) Thus, you get (3,7)
x=1/2(-1-square root of 21) and x=1/2(square root of 21 -1)
x2 + 8x - 5 = 0 ∴ x2 + 8x + 16 = 21 ∴ (x + 4)2 = 21 ∴ x + 4 = ± √21 ∴ x = -4 ± √21
3 x 7 + 0 = 21
To find the x intercept of an equation, simply plug in 0 for the y value, and solve for x (at the point where the line crosses the x axis, y will be equal to 0).Ex/2y + 3x = 213x = -2y + 21 (move y to opposite side)3x = -2(0) + 21 (plug in 0 for y)3x = 0 + 21 (multiply)3x = 21 (add 0 and 21)x = 7 (divide both sides by 3 to be left with only an x)For this line, the point where the line intercepts the x axis is (7,0).
Let the 2 numbers be x and y then we have x+y = 21 y = 21 - x ......(1) Also given that xy = 98 plug in y from (1) x(21-x) = 98 21x - x² = 98 x² - 21x + 98 = 0 x² - 14x - 7x + 98 = 0 x(x-14) - 7(x - 14) = 0 (x-14)(x-7) = 0 x = 14 or x = 7 If x = 14 then y =21-14 = 7 If x=7, then y = 21-7 = 14 So the two numbers are 7 and 14
3 x - 7 = -21
-45
similar to a base 10 number... Ex: 100100 contains 6 place values. The left most is 1 x 26-1 , the second is 0 x 25-1 , and 0 x 24-1 ,1 x 23-1 ,0 x 22-1 ,0 x 21-1 . or 1 x 25 , 0 x 24 , 0 x 23 , 1 x 22 , 0 x 21 , 1 .
10x2 - 29x = 21 10x2 - 29x - 21 = 0 so x = -0.6 or x = 3.5
x +y = 7 xy = -294 y = 7-x x(7-x) = -294 7x - x2 +294 = 0 x2 - 7x -294 = 0 (x-21)(X+14) = 0 x = 21 Y = -14
2x2 - x = 21Subtract 21 from each side . . 2x2 - x - 21 = 0Factor the left side . . . . . . . . (2x - 7) ( x + 3) = 0If (2x - 7 = 0), then . . . . . x = 3.5If (x + 3 = 0), then . . . . . x = - 3
-18
x2-4x-21 = 0 => x = -3 or x = 7 x2-3x-18 = 0 => x = -3 or x = 6