square of the sum of the zeroes of x2 + 5x + 8
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Answer:
answer is 25.is it helpfull for u
thanks
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Solution -
The given quadratic equation is as follows -
=> f ( x ) = x² + 5x + 8 .
Let us assume that the roots of the equation are a and b .
Now , we know that -
For a quadratic equation of the form,
ax² + bx + c ,
Sum of the zeroes => { - b / a }
Here , f ( x ) = x² + 5x + 8
Here , b = 5 and a = 1.
Substituting these values , we can obtain the sum of the zeroes -
=> Sum of zeroes = ( - 5 / 1 )
=> Sum of zeroes is -5 .
Squaring this -
The required value of the square of the sum of the zeroes is 25.
This is the required answer .
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