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IBstudent
 3 years ago
Quadratic equations:
Solve for x:
X4  5X2 + 4 = 0
IBstudent
 3 years ago
Quadratic equations: Solve for x: X4  5X2 + 4 = 0

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Yza
 3 years ago
Best ResponseYou've already chosen the best response.0In quadratic form, the equation would be 5x2 + x4 + 4 = 0

viniterranova
 3 years ago
Best ResponseYou've already chosen the best response.1Wouldn´t this equation written in this way x^45x^2+4=0

Yza
 3 years ago
Best ResponseYou've already chosen the best response.0But you would have to have the equation in ax^2 + bx + c form

viniterranova
 3 years ago
Best ResponseYou've already chosen the best response.1If this equation has the form above so try to factor out.

viniterranova
 3 years ago
Best ResponseYou've already chosen the best response.15x2 + x4 + 4 = 0. From here you can use (x^24)(x^21);

viniterranova
 3 years ago
Best ResponseYou've already chosen the best response.1Reminder if ab=0 then a=0 or b=0

zordoloom
 3 years ago
Best ResponseYou've already chosen the best response.1X^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

viniterranova
 3 years ago
Best ResponseYou've already chosen the best response.1Two different ways of solving but the same answer.
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