The solution to the given quadratic equation { 25x² + 60x = -36 } is -6/5 ( double roots ).
Hence, option C) x = negative StartFraction 6 Over 5 EndFraction is the correct answer.
Quadratic equation in its standard form is expressed as;
ax² + bx + c = 0
Where x is the unknown
To solve for x, we use the quadratic formula
x = (-b±√(b² - 4ac)) / (2a)
Given the equation in the question;
25x² + 60x = -36
We rearrange
25x² + 60x + 36 = 0
Compared to the standard form { ax² + bx + c = 0 }
We plug in these values into the quadratic formula.
x = (-b±√(b² - 4ac)) / (2a)
x = (-(60)±√((60)² - 4 × 25 × 36 )) / (2×25)
x = ( -60 ±√( 3600 - 3600)) / (50)
x = ( -60 ±√0) / (50)
x = ( -60 ± 0) / (50)
x = -60/50
x = -6/5 ( double roots )
The solution to the given quadratic equation { 25x² + 60x = -36 } is -6/5 ( double roots ).
Hence, option C) x = negative StartFraction 6 Over 5 EndFraction is the correct answer.
Learn more about quadratic equations here: brainly.com/question/1863222
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