If f (x) = x2 + 3x + 4 and g(x) = 5x + 7, for what values of x does f (x) = g(x)
1 answer:
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Answer:
- 15x - 7 = 2 + 12x
Move 12x to L.H.S ( Left Hand Side ) and change it's sign
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Move 7 to R.H.S ( Right Hand Side) and change it's sign
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Subtract 12x from 15x
Remember that only coefficients of like terms can be added or subtracted.
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Add the numbers : 2 and 7
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Divide both sides by 3
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The value of x is
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☄ Now, let's check whether the value of x is 3 or not!
<h3>☥ Verification :</h3>L.H.S = R.H.S ( Hence , the value of x is 3 ).
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<h3>✒ Rules for solving an equation :</h3>- If an equation contains fractions ,multiply each term by the L.C.M of denominators.
- Remove the brackets , if any.
- Collect the terms with the variable to the left hand side and constant terms to the right hand side by changing their sign ' + ' into ' - ' and ' - ' into ' + ' .
- Simplify and get the single term on each side.
- Divide each side by the coefficient of variable and then get the value of variable.
Hope I helped!
Have a wonderful time ! ツ
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