Answer: x=
1
4
+
−1
4
√41 or x=
1
4
+
1
4
√41
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−2x2+x=−5
Step 2: Subtract -5 from both sides.
−2x2+x−(−5)=−5−(−5)
−2x2+x+5=0
For this equation: a=-2, b=1, c=5
−2x2+1x+5=0
Step 3: Use quadratic formula with a=-2, b=1, c=5.
x=
−b±√b2−4ac
2a
x=
−(1)±√(1)2−4(−2)(5)
2(−2)
x=
−1±√41
−4
x=
1
4
+
−1
4
√41 or x=
1
4
+
1
4
√41
