Home
Class 12
MATHS
Solve the equation x^(2)-5|x|+6=0...

Solve the equation `x^(2)-5|x|+6=0`

Text Solution

Verified by Experts

The given equation is equivalent to the collection of systems
`{(x^(2)-5x+6=0, "if"xge0),(x^(2)+5x+6=0, "if"xlt0):}implies{((x-2)(x-3)=0,"if"xge0),((x+2)(x+3)=0, "if"xlt0):}`
Hence the solutions of the given equation are
`x_(1)=2,x_(2)=3,x_(3)=-2,x_(4)=-3`
Promotional Banner

Similar Questions

Explore conceptually related problems

Solve the equation x^(2) - 5x+ 3 =0 by using the formula .

Solve the equation 2x^(2)+5x-2 =0

Solve the equation 3x^(2) - 5x+ 2 = 0 by using the formula

Solve the equation x^(2)-12x +27 =0 by using formula.

Solve the equation x^(2)-x-2=0 graphically.

Solve the equation x^2+3=0 .

Draw the graph of y = x^(2) andy = x +2 and hence solve the equation : x^(2) - x- 2 =0

The number of solutions for the equation x^(2)- 5 x + 6 = 0 is..

Solve the equation x^(2) - 12x + 27 =0 by using formula.

Solve the equation x^(3)-3x-a=0 for different values of a