-2y²+10y=9
Step 1: Subtract 9 from both sides.
-2y2+10y 9 = 9 − 9
−2y² + 10y − 9 = 0
For this equation: a=-2, b=10, c=-9
-2y²+10y+9 = 0
Step 2: Use quadratic formula with a=-2, b=10, c=-9.
y =-b±√b2-4ac/2a
y= -(10) (10)-4(-2) (-9) / 2(-2)
y = -10√28 -4
y = 5/2 + -1/2√7 or y = 1/2 + 1/2 √7
Answer:
y = 5/2 + √7 or y = 5/2 +1/2 +√7