To determine whether the values −1 and 73 are solutions to the quadratic equation 3x^2−4x−4=3, substitute the values of x into the equation and see if both sides of the equation are equal.
For x = -1:
3(-1)^2 - 4(-1) - 4 = 3
3(1) + 4 - 4 = 3
3 + 0 = 3
3=3
The equation is true when x = -1, so x = -1 is a solution.
For x = 73:
3(73)^2 - 4(73) - 4 = 3
15903 - 292 - 4 = 3
15607 - 296 = 3
15311 = 3
The equation is not true when x = 73, so x = 73 is not a solution.
Therefore, only x = -1 is a solution.
Determine whether the values −1 and 73 are solutions to the quadratic equation 3x2−4x−4=3.(1 point) Responses Only x=−1 is a solution. Only x equals negative 1 is a solution. Both x=−1 and x=73 are solutions. Both x equals negative 1 and x equals Start Fraction 7 over 3 End Fraction are solutions. Only x=73 is a solution. Only x equals Start Fraction 7 over 3 End Fraction is a solution. Neither x=−1 nor x=73 is a solution.
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