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3x2 = 4x + c
In the equation above, c is a constant. If x = −1 is a solution of this equation, what other value of x satisfies the equation?
In the equation above, c is a constant. If x = −1 is a solution of this equation, what other value of x satisfies the equation?
- a)1/7
- b)4/3
- c)7/3
- d)7
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
3x2 = 4x + cIn the equation above, c is a constant. If x = −1 is...
We can find the value of c by just substituting x = -1 into the equation.
Given equation: 3x2 = 4x + c
Substitute x = -1: 3(-1)2 = 4(-1) + c
Simplify: 3 = -4 + c
Add 4: 7 = c
Therefore, the equation is: 3x2 = 4x + 7
Subtract 4x and 7: 3x2 - 4x - 7 = 0
Factor using Sum-Product Method: (x + 1)(3x - 7) = 0
(Notice that the factor (x + 1) corresponds to the fact that x = -1 is a solution to t he quadratic.)
Use Zero Product Property to find other solution: 3x - 7 = 0
Add 7: 3x = 7
Divide by 3: x = 7/3
Given equation: 3x2 = 4x + c
Substitute x = -1: 3(-1)2 = 4(-1) + c
Simplify: 3 = -4 + c
Add 4: 7 = c
Therefore, the equation is: 3x2 = 4x + 7
Subtract 4x and 7: 3x2 - 4x - 7 = 0
Factor using Sum-Product Method: (x + 1)(3x - 7) = 0
(Notice that the factor (x + 1) corresponds to the fact that x = -1 is a solution to t he quadratic.)
Use Zero Product Property to find other solution: 3x - 7 = 0
Add 7: 3x = 7
Divide by 3: x = 7/3
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3x2 = 4x + cIn the equation above, c is a constant. If x = −1 is a solution of this equation, what other value of x satisfies the equation?a)1/7b)4/3c)7/3d)7Correct answer is option 'C'. Can you explain this answer?
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