Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−x2+6x−10
Evaluate
−(x−3)2−1
Expand the expression
−x2+6x−9−1
Solution
−x2+6x−10
Show Solution
Find the roots
x1=3−i,x2=3+i
Evaluate
−(x−3)2−1
To find the roots of the expression,set the expression equal to 0
−(x−3)2−1=0
Move the constant to the right-hand side and change its sign
−(x−3)2=0+1
Removing 0 doesn't change the value,so remove it from the expression
−(x−3)2=1
Change the signs on both sides of the equation
(x−3)2=−1
Take the root of both sides of the equation and remember to use both positive and negative roots
x−3=±−1
Simplify the expression
x−3=±i
Separate the equation into 2 possible cases
x−3=ix−3=−i
Calculate
More Steps
Evaluate
x−3=i
Move the constant to the right-hand side and change its sign
x=i+3
Calculate
x=3+i
x=3+ix−3=−i
Calculate
More Steps
Evaluate
x−3=−i
Move the constant to the right-hand side and change its sign
x=−i+3
Calculate
x=3−i
x=3+ix=3−i
Solution
x1=3−i,x2=3+i
Show Solution