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Solve the equation.
1/10 (x + 34) = −2(4 − x)
x = _____

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Sagot :

Answer:

−0.383

Step-by-step 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

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