Solve using the quadratic formula.6v2+8v+2=0Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.v=_____ or v=_____
Q. Solve using the quadratic formula.6v2+8v+2=0Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.v=_____ or v=_____
Identify values of a, b, c: Identify the values of a, b, and c in the quadratic equation6v2+8v+2=0. Compare 6v2+8v+2=0 with the standard form ax2+bx+c=0. a=6b0b1
Substitute values into formula: Substitute the values of a, b, and c into the quadratic formula v=2a−b±b2−4ac. Substitute a=6, b=8, and c=2 into the quadratic formula. v=2⋅6−(8)±(8)2−4⋅6⋅2
Simplify expression and calculate discriminant: Simplify the expression under the square root and calculate the discriminant.(8)2−4⋅6⋅2= 64−48= 16
Continue simplifying formula: Continue simplifying the quadratic formula with the calculated discriminant. v=2⋅6−8±16v=12−8±4
Calculate possible solutions: Calculate the two possible solutions for v.v=(−8+4)/12 or v=(−8−4)/12v=−4/12 or v=−12/12Simplify the fractions.v=−1/3 or v=−1
Check for simplification or rounding: Check if the solutions can be simplified further or need to be rounded.The solutions −31 and −1 are already in their simplest form and do not need to be rounded since they are exact values.
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