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Use the quadratic formula to solve x squared + 3 x minus 4 = 0, and then verify your answer by graphing.

a.
x = - 4, 1
c.
x = - 4, - 1
b.
x = 4, 1
d.
x = - 4, 2

Sagot :

Answer: A.) X= -4,1

Step-by-step explanation:

edge 2021

varshamittal029

The correct option is Option A:  The solution of the quadratic equation is x= -4 and 1.

What is the quadratic formula?

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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