x = 2 or x = 2/5
x2+6x-7 = 0 (x+3)2-7 = 0 (x+3)2-7-9 = 0 (x+3)2 = 16 x+3 = + or - 4 x = - 3 + or - 4 x = 1 or -7
x2 + 15x = -26x2 + 15x + 26 = -26 + 26x2 + 15x + 26 = 0 where a = 1, b = 15, and c = 26x = [-15 ± √(152 - 4(1)(26))]/2(1)x = (-15 ± √121)/2x = (-15 ± 11)/2x = (-15 + 11)/2 = -4/2 = -2 or x = (-15 - 11)/2 = -26/2 = -13
x2 + 8x - 2 = 0 => x2 + 8x = 2 => x2 + 8x + 16 = 2 + 16 = 18 => (x + 4)2 = 18 => x + 4 = +or- sqrt(18) = +or- 3*sqrt(2) so x = -4 +or- 3*sqrt(2)
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
If you mean: 11x2-34x+3 = 0 then the solutions are x = 1/11 and x = 3 by completing the square or using the quadratic equation formula
2x2+12x+1 = 0 By dividing all terms in the quadratic equation by 2 will make completing the square easier to work out: x2+6x+0.5 = 0 (x+3)2+0.5 = 0 (x+3)2-9+0.5 = 0 (x+3)2-8.5 = 0 (x+3)2 = 8.5 x+3 = the square root of 8.5 x = -3 and plus or minus the square root of 8.5
x = 2 or x = 2/5
No. It refers to quadratic equations of the form (x + n)2 = c where n and c are real values. "Completing the square" solves for values of the x-intercepts (y=0). (see the related link)
This quadratic equation which will have two solutions can be solved by completing the square or by using the quadratic equation formula.Completing the square:x2+18x+4 = 0(x+9)2+4 = 0(x+9)2+4-81 = 0(x+9)2 = 77x+9 = + or - the square root of 77x = -9 + or - the square root of 77If you're not too sure about the procedure of completing the square your maths tutor should be familiar with it.
3x2+14x+8 = 0 x = -2/3 or x = -4
25 x2+10x-14 = 0 Completing the square:- (x+5)2-14 = 0 (x+5)2-25-14 = 0 x+5 = the sqrt of 39 x = -5-/+ the sqrt of 39
2x2 = x+1 => 2x2-x-1= 0 Divide all terms by 2: x2-1/2x-1/2 = 0 Completing the square: (x-1/4)2-1/2 = 0 (x-1/4)2-1/2-1/16 = 0 (x-1/4)2-9/16 = 0 (x-1/4)2 = 9/16 Square root both sides: x-1/4 = -/+ 3/4 x = 1/4 -/+ 3/4 x = -1/2 and x = 1
x² + 8x -2 = 0 x² + 8x = 2 x² + 8x + (8/2)² = 2 + (8/2)² x² + 8x + 16 = 2 + 16 (x + 4)² = 18 x + 4 = ±√18 x = -4 ±√18 x = -4 + √18 or x = -4 - √18 if you are still confused, i want you to follow the related link that explains the concept of completing the square clearly.
2x2-12x-54 = 0 Solve by factoring or using the quadratic equation formula or by completing the square: (2x+6)(x-9) = 0 Therefore: x = -3 or x = 9
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
x2+6x-7 = 0 (x+3)2-7 = 0 (x+3)2-7-9 = 0 (x+3)2 = 16 x+3 = + or - 4 x = - 3 + or - 4 x = 1 or -7