Mathematics
Grade10
Easy

Question

In a basketball match, the equation of the kick is recorded as y equals 3 x squared plus 6 x plus 8. How far did the ball go after the kick.

  1. 5
  2. 1
  3. 3
  4. 4

hintHint:

An expression obtained from the square of the binomial equation is a perfect square trinomial.

The correct answer is: 1


    Given equation, y equals 3 x squared plus 6 x plus 8
    table attributes columnspacing 1em end attributes row cell y minus 8 equals 3 x squared plus 6 x end cell row cell y minus 8 equals 3 left parenthesis x squared plus 2 x right parenthesis end cell end table
    Adding open parentheses 2 over 2 close parentheses squaredon both the sides,
    table attributes columnspacing 1em end attributes row cell y minus 8 plus 3 left parenthesis 1 right parenthesis equals 3 left parenthesis x squared plus 2 x plus 1 right parenthesis end cell row cell y minus 5 equals 3 left parenthesis x plus 1 right parenthesis squared end cell row cell y equals 3 left parenthesis x plus 1 right parenthesis squared plus 5 end cell end table
    The height of the ball after the kick is 5 units and the ball reaches the distance of 1 unit from the kick point.

    If a trinomial is in the form ax 2 + bx + c is said to be a perfect square, if and only if it satisfies the condition b 2 = 4ac.

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