X^2/2 + 2X/2 = 24X^2/2 + X = 24Multiplying by 2 to eliminate fraction:X^2 + 2X = 48Rearranging terms:X^2 + 2X - 48 = 0
Now we have a quadratic equation in standard form:X^2 + 2X - 48 = 0
To solve for X, we can use the quadratic formula:X = (-B ± √(B^2 - 4AC)) / 2A
Where A = 1, B = 2, and C = -48 in this case.
Plugging in the values:X = (-2 ± √(2^2 - 41(-48))) / 2*1X = (-2 ± √(4 + 192)) / 2X = (-2 ± √196) / 2X = (-2 ± 14) / 2
There are two possible solutions:X1 = (-2 + 14) / 2 = 12 / 2 = 6X2 = (-2 - 14) / 2 = -16 / 2 = -8
Therefore, the solutions to the quadratic equation are X = 6 and X = -8.
X^2/2 + 2X/2 = 24
X^2/2 + X = 24
Multiplying by 2 to eliminate fraction:
X^2 + 2X = 48
Rearranging terms:
X^2 + 2X - 48 = 0
Now we have a quadratic equation in standard form:
X^2 + 2X - 48 = 0
To solve for X, we can use the quadratic formula:
X = (-B ± √(B^2 - 4AC)) / 2A
Where A = 1, B = 2, and C = -48 in this case.
Plugging in the values:
X = (-2 ± √(2^2 - 41(-48))) / 2*1
X = (-2 ± √(4 + 192)) / 2
X = (-2 ± √196) / 2
X = (-2 ± 14) / 2
There are two possible solutions:
X1 = (-2 + 14) / 2 = 12 / 2 = 6
X2 = (-2 - 14) / 2 = -16 / 2 = -8
Therefore, the solutions to the quadratic equation are X = 6 and X = -8.