Answer:
−0.383
Explanation:
Let's solve your equation step-by-step.
1/10 (x+34)=(−2(4−x))(x)
Step 1: Simplify both sides of the equation.
1/10 x+ 17/5 =2x2−8x
Step 2: Subtract 2x^2-8x from both sides.
1/10 x+ 17/5 −(2x2−8x)=2x2−8x−(2x2−8x)
−2x2+ 81/10 x+17/5 =0
For this equation: a=-2, b=8.1, c=3.4
−2x2+8.1x+3.4=0
Step 3: Use quadratic formula with a=-2, b=8.1, c=3.4.
x=
−b±√b2−4ac
2a
x=
−(8.1)±√(8.1)2−4(−2)(3.4)
2(−2)
x=
−8.1±√92.81
−4
x=−0.38344867082526823,4.433448670825268
Step 4: round to the nearest hundred
X= -0.383