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YzaBest ResponseYou've already chosen the best response.0
In quadratic form, the equation would be 5x2 + x4 + 4 = 0
 one year ago

viniterranovaBest ResponseYou've already chosen the best response.1
Wouldn´t this equation written in this way x^45x^2+4=0
 one year ago

YzaBest ResponseYou've already chosen the best response.0
But you would have to have the equation in ax^2 + bx + c form
 one year ago

viniterranovaBest ResponseYou've already chosen the best response.1
If this equation has the form above so try to factor out.
 one year ago

viniterranovaBest ResponseYou've already chosen the best response.1
5x2 + x4 + 4 = 0. From here you can use (x^24)(x^21);
 one year ago

viniterranovaBest ResponseYou've already chosen the best response.1
Reminder if ab=0 then a=0 or b=0
 one year ago

zordoloomBest ResponseYou've already chosen the best response.1
X^45X^2+4=0 Substitute u=X^2 into the equation. This will make the quadratic formula easy to use. u^25u+4=0 u=X^2 Move 4 to the lefthand side of the equation by adding it to both sides. The goal is to have all terms on the lefthand side equal to 0. u^25u+4=0 In this problem 1*4=4 and 14=5, so insert 1 as the right hand term of one factor and 4 as the righthand term of the other factor. (u1)(u4)=0 Set each of the factors of the lefthand side of the equation equal to 0. u1=0 u4=0 Since 1 does not contain the variable to solve for, move it to the righthand side of the equation by adding 1 to both sides. u=1 u4=0 Set each of the factors of the lefthand side of the equation equal to 0. u=1 u4=0 Since 4 does not contain the variable to solve for, move it to the righthand side of the equation by adding 4 to both sides. u=1 u=4 The complete solution is the set of the individual solutions. u=1, 4 Substitute the real value of u=X^2 back into the solved equation. X^2=1 X^2=4 Solve the first equation for X. X^2=1 Take the square root of both sides of the equation to eliminate the exponent on the lefthand side. X=+/sqrt(1) Pull all perfect square roots out from under the radical. In this case, remove the 1 because it is a perfect square. X=+/1 First, substitute in the + portion of the +/ to find the first solution. X=1 Next, substitute in the  portion of the +/ to find the second solution. X=1 The complete solution is the result of both the + and  portions of the solution. X=1,1 Solve the second equation for X. X^2=4 Take the square root of both sides of the equation to eliminate the exponent on the lefthand side. X=+/sqrt(4) Pull all perfect squXre roots out from under the radical. In this case, remove the 2 because it is a perfect square. X=+/2 First, substitute in the + portion of the +/ to find the first solution. X=2 Next, substitute in the  portion of the +/ to find the second solution. X=2 The complete solution is the result of both the + and  portions of the solution. X=2,2 The solution to X^45X^2+4=0 is X=1,1,2,2. X=1,1,2,2
 one year ago

viniterranovaBest ResponseYou've already chosen the best response.1
Two different ways of solving but the same answer.
 one year ago
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