The correct option is Option A: The solution of the quadratic equation is x= -4 and 1.
The quadratic formula is the method for solving and finding the solution of the quadratic equation ax²+bx+c=0.
The solution of the quadratic equation ax²+bx+c=0. by the quadratic formula is given by
x= {-b±√(b²-4ac)}/2a
Here b²-4ac is discriminant denoted by D.
D= b²-4ac
Given the quadratic equation is
x²+3x-4=0
for solving by the quadratic formula
comparing the above equation by ax²+bx+c=0
a=1
b=3
c=-4
The solution of this quadratic equation will be
x= {-b±√(b²-4ac)}/2a
⇒x= {-3±√(3²-4.1.(-4))}/2.1
⇒x= {-3±√(9+16)}/2
⇒x= {-3±√25}/2
⇒x=(-3±5)/2
⇒x= (-3+5)/2 OR (-3-5)/2
⇒x= 2/2 OR -8/2
⇒x=1 or -4
By checking all the options
Therefore the correct option is Option A: The solution of the quadratic equation is x= -4 and 1
Learn more about the quadratic formula
here: https://brainly.com/question/8649555
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