Mathematics
Grade10
Easy

Question

In a football match, the equation of the kick is recorded as y equals 8 x squared plus space 16 x space equals space 30.
How much height did the ball go after the kick?

  1. 2
  2. 10
  3. 22
  4. 30

hintHint:

In algebra, a quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0.

The correct answer is: 22


    text  Given equation,  end text y equals 8 x squared plus 16 x plus 30
y minus 30 equals 8 x squared plus 16 x
y minus 30 equals 8 open parentheses x squared plus 2 x close parentheses
text  Adding  end text open parentheses 2 over 2 close parentheses squared text  on both the sides,  end text
y minus 30 plus 8 left parenthesis 1 right parenthesis equals 8 open parentheses x squared plus 2 x plus 1 close parentheses
y minus 22 equals 4 left parenthesis x plus 2 right parenthesis squared
y equals 4 left parenthesis x plus 2 right parenthesis squared plus 22
T h e space h e i g h t space o f space t h e space f o o t space a f t e r space t h e space k i c k space i s space 22 space u n i t s space a n d space t h e space f o o t b a l l space r e a c h e d space t h e space d i s tan c e space o f space 2 space u n i t s space f r o m space t h e space k i c k space p o i n t.

    Determining the Maximum Value of the Quadratic Equation
    For instance, it can be stated that if the equation has been represented in the form of ax2 +bx+c, the formula for finding the maximum value will be max= c- (b2/4a).

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