Answer:The solutions are
[0.5, - 7.5]
Step-by-step explanation:
The given quadratic equation is expressed as
x² + 7x - 4 = 0
The given quadratic equation is already in the standard form of
ax² + bx + c
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = 1
b = 7
c = - 4
Therefore,
x = [- 7 ± √(7² - 4 × 1 × - 4)]/2 × 1
x = [- 7 ± √(49 - - 16)]/2
x = [- 7 ± √65]/2
x = (- 7 + √65)/2 or x = (- 7 - √65)/2
x = (- 7 + 8.06)/2 or x = (- 7 - 8.06)/2
x = 0.5 or x = - 7.5
