(10x - 8)(2x - 1) = 0 x = 4/5 or 1/2. It's easier to check in decimal: 0.8 or 0.5
26x = 156 Divide both sides of the equation by 26 to find the value of x: x = 6
38 = 26x - 7x 38 = 19x (38/19) = x 2 = x
Equation: 8x^2 -26x +15 =0 I Divide all terms by 8: x^2 -26/8 +15/8 = 0 and complete the square as follows:- (x -13/8)^2 -169/64 +15/8 = 0 => (x-13/8)^2 = 49/64 Square root both sides: x-13/8 = -/+ 7/8 Add 13/8 to both sides: x = 13/8 -/+ 7/8 Therefore solutions are: x = 5/2 or x = 3/4
x2+26x = 68 Completing the square: (x+13)2-169-68 = 0 (x+13)2-237 = 0 x+13 = -/+ sq rt 237 x = -13-/+ sq rt 237
3x2+26x+16 When factorised: (3x+2)(x+8)
x2 + 26x + 48 = (x + 24)(x + 2)
(5x + 6)(x + 4)
x2+36x+120 (x+6)(x+20)
-22x-8
(x+6)(X+20)
The x-axis is y = 0 → y = 8x² - 26x + 15 → 0 = 8x² - 26x + 15 = (4x - 3)(2x - 5) So 4x - 3 = 0 → 4x = 3 → x = ¾ = 0.75 or 2x -5 = 0 → 2x = 5 → x = 2½ = 2.5 The y-axis is x = 0 → y = 8x² - 26x + 15 = 8 × 0² - 26 × 0 + 15 = 15 → The points of contact with the x- and y- axes of y = 8x² - 26x + 15 are: (0.75, 0), (2.5, 0), (0, 15)
x2+26x = 68 x2+26x-68 = 0 (x+13)2-68 = 0 (x+13)2-169-68 = 0 x+13 = +/- the square root of 237 x = -13 +/- the square root of 237
26x + 9 = 699Subtract 9 from each side:26x = 690Divide each side by 26 :x = 690/26 = 26 and 14/690 = 26 and 7/345 = 26.5385 (rounded)
26x-4 = 25 +4 +4 26x = 29 x= 29/26 or 1.115...
(10x - 8)(2x - 1) = 0 x = 4/5 or 1/2. It's easier to check in decimal: 0.8 or 0.5
26x = 156 Divide both sides of the equation by 26 to find the value of x: x = 6