Question Simplify the expression x4−6x2+9 Evaluate (x2−3)2Use (a−b)2=a2−2ab+b2 to expand the expression (x2)2−2x2×3+32Solution x4−6x2+9 Show Solution Find the roots x1=−3,x2=3Alternative Form x1≈−1.732051,x2≈1.732051 Evaluate (x2−3)2To find the roots of the expression,set the expression equal to 0 (x2−3)2=0The only way a power can be 0 is when the base equals 0 x2−3=0Move the constant to the right-hand side and change its sign x2=0+3Removing 0 doesn't change the value,so remove it from the expression x2=3Take the root of both sides of the equation and remember to use both positive and negative roots x=±3Separate the equation into 2 possible cases x=3x=−3Solution x1=−3,x2=3Alternative Form x1≈−1.732051,x2≈1.732051 Show Solution
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