If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4z2 + 13 = 16z Reorder the terms: 13 + 4z2 = 16z Solving 13 + 4z2 = 16z Solving for variable 'z'. Reorder the terms: 13 + -16z + 4z2 = 16z + -16z Combine like terms: 16z + -16z = 0 13 + -16z + 4z2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 3.25 + -4z + z2 = 0 Move the constant term to the right: Add '-3.25' to each side of the equation. 3.25 + -4z + -3.25 + z2 = 0 + -3.25 Reorder the terms: 3.25 + -3.25 + -4z + z2 = 0 + -3.25 Combine like terms: 3.25 + -3.25 = 0.00 0.00 + -4z + z2 = 0 + -3.25 -4z + z2 = 0 + -3.25 Combine like terms: 0 + -3.25 = -3.25 -4z + z2 = -3.25 The z term is -4z. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4z + 4 + z2 = -3.25 + 4 Reorder the terms: 4 + -4z + z2 = -3.25 + 4 Combine like terms: -3.25 + 4 = 0.75 4 + -4z + z2 = 0.75 Factor a perfect square on the left side: (z + -2)(z + -2) = 0.75 Calculate the square root of the right side: 0.866025404 Break this problem into two subproblems by setting (z + -2) equal to 0.866025404 and -0.866025404.Subproblem 1
z + -2 = 0.866025404 Simplifying z + -2 = 0.866025404 Reorder the terms: -2 + z = 0.866025404 Solving -2 + z = 0.866025404 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + z = 0.866025404 + 2 Combine like terms: -2 + 2 = 0 0 + z = 0.866025404 + 2 z = 0.866025404 + 2 Combine like terms: 0.866025404 + 2 = 2.866025404 z = 2.866025404 Simplifying z = 2.866025404Subproblem 2
z + -2 = -0.866025404 Simplifying z + -2 = -0.866025404 Reorder the terms: -2 + z = -0.866025404 Solving -2 + z = -0.866025404 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + z = -0.866025404 + 2 Combine like terms: -2 + 2 = 0 0 + z = -0.866025404 + 2 z = -0.866025404 + 2 Combine like terms: -0.866025404 + 2 = 1.133974596 z = 1.133974596 Simplifying z = 1.133974596Solution
The solution to the problem is based on the solutions from the subproblems. z = {2.866025404, 1.133974596}
| F(t)=-9t-4 | | -8n+8(-2n-1)=-8+5n | | -8n+8(-2-1)=-8+5n | | 0=vi+(-9.81)(1.01) | | G(x)=8x+2 | | x+x+2+x+4+x+6+x+8=310 | | 3x^2+bx=5 | | 8y-9x=41 | | 7y=x+26 | | n(-0.26)=169.39 | | -3(x+3t)=-t | | 5+19n-1=7n+124-3n | | p^2+4p=1 | | 25=(0.5)(6+4)(h) | | Z=20x+4y | | 0.42x=35 | | X+1.3=2.2 | | 24z^2+28z-12=0 | | 5c-1=1+5c | | -7x+25=14 | | x+6+4=31 | | y=4x^2+lnx | | [(-10+4)-6]-[-(4-8)-7]= | | 7y-8=5y+5 | | 3(-t-4)-8(2-3t)= | | 7k^2+5k-18=0 | | (12+y)(3-y)=0 | | 30.08= | | -[x+(3-x)-(3+4x)]= | | 4x^2+y^2+16=0 | | 5(z+6)=9z | | 7a-[(a+3b)-(2a-2b)]= |