Mathematics
Grade10
Easy

Question

Find the solutions for the equation y equals x squared plus 16 x plus 25.

  1. y equals left parenthesis x plus 7 right parenthesis squared minus 39
  2. y equals left parenthesis x plus 8 right parenthesis squared minus 39
  3. y equals left parenthesis x plus 8 right parenthesis squared plus 39
  4. y equals left parenthesis x minus 8 right parenthesis squared plus 39

hintHint:

In math, factorization is when you break a number down into smaller numbers that, multiplied together, give you that original number.

The correct answer is: y equals left parenthesis x plus 8 right parenthesis squared minus 39


    Given quadratic equation, y equals x squared plus 16 x plus 25
    Now we isolate constants to the other side,
    y minus 25 equals x squared plus 16 x
    Adding 64 on both sides, we get
    y minus 25 plus 64 equals x squared plus 16 x plus 64
y plus 39 equals left parenthesis x plus 8 right parenthesis squared
y equals left parenthesis x plus 8 right parenthesis squared minus 39
    The vertex form of the quadratic equation is y equals left parenthesis x plus 8 right parenthesis squared minus 39.
    Solutions are y equals left parenthesis x plus 8 right parenthesis squared minus 39.
    Hence ,the correct option is (b).

    Prime factorization of any number can be done by using two methods: (1) Division  method and (2) Factor tree method.

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