Maths-
General
Easy

Question

What is the sum of the solutions to
left parenthesis x minus 6 right parenthesis left parenthesis x plus 0.7 right parenthesis equals 0 ?

  1. - 6.7
  2. - 5.3
  3. 5.3
  4. 6.7

hintHint:

Hint:
  • A quadratic equation is an equation whose degree is two and the solutions of a quadratic equation can be found using factorization.

The correct answer is: 5.3


    Explanation:
    • We have given a quadratic equation in factorized form left parenthesis x minus 6 right parenthesis space left parenthesis x plus 0.7 right parenthesis equals 0
    • We have to find the sum of the solutions of the given equation
    Step 1 of 2:
    The given equation is left parenthesis x minus 6 right parenthesis space left parenthesis x plus 0.7 right parenthesis equals 0
    Now the solutions will be
    When,
    x minus 6 equals 0
    rightwards double arrow x space equals space 6
    Or
    x plus 0.7 equals 0
    rightwards double arrow x equals negative 0.7
    Now we have to find the sum of the solutions
    So, Sum will be
    equals 6 plus left parenthesis negative 0.7 right parenthesis
    equals 6 minus 0.7
    equals 5.3
    So, Option (C) is correct.
    Note: We can also do this question by converting it into standard form a x squared plus b x plus c equals 0 and then applying the formula of the sum of the equations fraction numerator negative b over denominator a end fraction

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