If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 73.5 = 9.8t + 49t2 Solving 73.5 = 9.8t + 49t2 Solving for variable 't'. Reorder the terms: 73.5 + -9.8t + -49t2 = 9.8t + -9.8t + 49t2 + -49t2 Combine like terms: 9.8t + -9.8t = 0.0 73.5 + -9.8t + -49t2 = 0.0 + 49t2 + -49t2 73.5 + -9.8t + -49t2 = 49t2 + -49t2 Combine like terms: 49t2 + -49t2 = 0 73.5 + -9.8t + -49t2 = 0 Begin completing the square. Divide all terms by -49 the coefficient of the squared term: Divide each side by '-49'. -1.5 + 0.2t + t2 = 0 Move the constant term to the right: Add '1.5' to each side of the equation. -1.5 + 0.2t + 1.5 + t2 = 0 + 1.5 Reorder the terms: -1.5 + 1.5 + 0.2t + t2 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.2t + t2 = 0 + 1.5 0.2t + t2 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 0.2t + t2 = 1.5 The t term is 0.2t. Take half its coefficient (0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. 0.2t + 0.01 + t2 = 1.5 + 0.01 Reorder the terms: 0.01 + 0.2t + t2 = 1.5 + 0.01 Combine like terms: 1.5 + 0.01 = 1.51 0.01 + 0.2t + t2 = 1.51 Factor a perfect square on the left side: (t + 0.1)(t + 0.1) = 1.51 Calculate the square root of the right side: 1.228820573 Break this problem into two subproblems by setting (t + 0.1) equal to 1.228820573 and -1.228820573.Subproblem 1
t + 0.1 = 1.228820573 Simplifying t + 0.1 = 1.228820573 Reorder the terms: 0.1 + t = 1.228820573 Solving 0.1 + t = 1.228820573 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.1' to each side of the equation. 0.1 + -0.1 + t = 1.228820573 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + t = 1.228820573 + -0.1 t = 1.228820573 + -0.1 Combine like terms: 1.228820573 + -0.1 = 1.128820573 t = 1.128820573 Simplifying t = 1.128820573Subproblem 2
t + 0.1 = -1.228820573 Simplifying t + 0.1 = -1.228820573 Reorder the terms: 0.1 + t = -1.228820573 Solving 0.1 + t = -1.228820573 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.1' to each side of the equation. 0.1 + -0.1 + t = -1.228820573 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + t = -1.228820573 + -0.1 t = -1.228820573 + -0.1 Combine like terms: -1.228820573 + -0.1 = -1.328820573 t = -1.328820573 Simplifying t = -1.328820573Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.128820573, -1.328820573}
| 7+11s-1=9s+46-6s | | 13x^2-19x=0 | | 3x=5y-1 | | (1x+6)+(1x+9)+(1x+3)=2(1x+4)+2(1x+1) | | (4x+3)(54e^6x)-54e^6x=0 | | 24(x-1)=-8(3-x)+16x | | v^2-5=-1 | | S=-8t^2+32t | | 4x-40=-12+6x-6x | | -4x-2=x+23 | | 3(x+4)+6=5(X-1) | | 18+-32= | | 4b^2+20b-98=-2 | | Ln(x)+ln(x+3)=2 | | 7-19=-2z | | 5x^2+5y^2-8x-4y-121=0 | | r^2-9r+20=0 | | x^2-16x=17 | | 5y+2x=38 | | -4x-4x=36-4 | | -20d^2-82d+80=0 | | 12a^2-27b^2=0 | | -5(y-6)=7y+18 | | 5v-8=-43 | | 5x-7=64+4 | | 3x^2-9x-54=0 | | x^2+16=17 | | a^2-3ab-70b^2=0 | | 3x^2+8x=-1 | | C^2+8c-9=0 | | 3x^2+x=7x | | 5(w-5)=25 |