If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying t = 4.9t2 + 27.5t + 9.8 Reorder the terms: t = 9.8 + 27.5t + 4.9t2 Solving t = 9.8 + 27.5t + 4.9t2 Solving for variable 't'. Reorder the terms: -9.8 + t + -27.5t + -4.9t2 = 9.8 + 27.5t + 4.9t2 + -9.8 + -27.5t + -4.9t2 Combine like terms: t + -27.5t = -26.5t -9.8 + -26.5t + -4.9t2 = 9.8 + 27.5t + 4.9t2 + -9.8 + -27.5t + -4.9t2 Reorder the terms: -9.8 + -26.5t + -4.9t2 = 9.8 + -9.8 + 27.5t + -27.5t + 4.9t2 + -4.9t2 Combine like terms: 9.8 + -9.8 = 0.0 -9.8 + -26.5t + -4.9t2 = 0.0 + 27.5t + -27.5t + 4.9t2 + -4.9t2 -9.8 + -26.5t + -4.9t2 = 27.5t + -27.5t + 4.9t2 + -4.9t2 Combine like terms: 27.5t + -27.5t = 0.0 -9.8 + -26.5t + -4.9t2 = 0.0 + 4.9t2 + -4.9t2 -9.8 + -26.5t + -4.9t2 = 4.9t2 + -4.9t2 Combine like terms: 4.9t2 + -4.9t2 = 0.0 -9.8 + -26.5t + -4.9t2 = 0.0 Begin completing the square. Divide all terms by -4.9 the coefficient of the squared term: Divide each side by '-4.9'. 2 + 5.408163265t + t2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 5.408163265t + -2 + t2 = 0 + -2 Reorder the terms: 2 + -2 + 5.408163265t + t2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5.408163265t + t2 = 0 + -2 5.408163265t + t2 = 0 + -2 Combine like terms: 0 + -2 = -2 5.408163265t + t2 = -2 The t term is 5.408163265t. Take half its coefficient (2.704081633). Square it (7.312057478) and add it to both sides. Add '7.312057478' to each side of the equation. 5.408163265t + 7.312057478 + t2 = -2 + 7.312057478 Reorder the terms: 7.312057478 + 5.408163265t + t2 = -2 + 7.312057478 Combine like terms: -2 + 7.312057478 = 5.312057478 7.312057478 + 5.408163265t + t2 = 5.312057478 Factor a perfect square on the left side: (t + 2.704081633)(t + 2.704081633) = 5.312057478 Calculate the square root of the right side: 2.304790116 Break this problem into two subproblems by setting (t + 2.704081633) equal to 2.304790116 and -2.304790116.Subproblem 1
t + 2.704081633 = 2.304790116 Simplifying t + 2.704081633 = 2.304790116 Reorder the terms: 2.704081633 + t = 2.304790116 Solving 2.704081633 + t = 2.304790116 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.704081633' to each side of the equation. 2.704081633 + -2.704081633 + t = 2.304790116 + -2.704081633 Combine like terms: 2.704081633 + -2.704081633 = 0.000000000 0.000000000 + t = 2.304790116 + -2.704081633 t = 2.304790116 + -2.704081633 Combine like terms: 2.304790116 + -2.704081633 = -0.399291517 t = -0.399291517 Simplifying t = -0.399291517Subproblem 2
t + 2.704081633 = -2.304790116 Simplifying t + 2.704081633 = -2.304790116 Reorder the terms: 2.704081633 + t = -2.304790116 Solving 2.704081633 + t = -2.304790116 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.704081633' to each side of the equation. 2.704081633 + -2.704081633 + t = -2.304790116 + -2.704081633 Combine like terms: 2.704081633 + -2.704081633 = 0.000000000 0.000000000 + t = -2.304790116 + -2.704081633 t = -2.304790116 + -2.704081633 Combine like terms: -2.304790116 + -2.704081633 = -5.008871749 t = -5.008871749 Simplifying t = -5.008871749Solution
The solution to the problem is based on the solutions from the subproblems. t = {-0.399291517, -5.008871749}
| f(x)=-x^2+8x-17 | | (1-8*x)=ln(20) | | 8+ln(27x)=26-2ln(x) | | h(t)=-4.9t^2+27.5t+9.8 | | h(t)=4.9t^2+27.5t+9.8 | | ln(20)=1-8x | | 18+4(3x-70)=-70 | | 3b+16a=9n | | -5z+6+5.5z=-29.5 | | 1-2n=n+4 | | h=26+14.7t | | h=27+9.8t-1+4.9t | | 4e^2x-4=12 | | -2.5x-3=-16.5 | | t=4.9t^2+27t+9.8 | | -1b+5+4b=1+5b+3 | | h(t)=4.9t^2+27t+9.8 | | 500d=1200 | | 250d=1200 | | 4t(t-1)=224 | | 2x^2+7x-4=0x | | 16616.88=6.28*r^2+6.28*r*105 | | 9=8m | | z+81=9z+-7 | | y=300+10x | | 9(4+5*9)= | | 3t(t-1)=60 | | 9(x+5y)=0 | | 6x+4x+3+6=7x+3+2x | | 0.8n=5 | | -8x=24y | | 9x^2+2x+8=0 |