The exact solution of the equation x² + 7x − 4 = 0 will be (–7 + √65) / 2 and (–7 – √65) / 2.
What is the solution of the quadratic equation by formula method?
The quadratic equation is given as ax² + bx + c = 0.
Then the solution is given as
[tex]\rm x = \dfrac{-b\pm \sqrt{D}}{2a}[/tex]
Where d is the discriminant.
The quadratic equation is given below.
x² + 7x − 4 = 0
On comparing with the standard quadratic equation, then the value of a, b, and c will be
a = 1, b = 7, c = −4
Then the value of the discriminant will be
D = b² – 4ac
D = 7² – 4 x 1 x (–4)
D = 49 + 16
D = 65
Then the solution of the equation will be
x = (–7 ±√65) / 2·1
x = (–7 ±√65) / 2
Thus, the exact solution of the equation x² + 7x − 4 = 0 will be (–7 + √65) / 2 and (–7 – √65) / 2.
More about the solution of the quadratic equation link is given below.
https://brainly.com/question/17376136
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