Solve using the Quadratic Formula. Please show solution☺️

Question

4w²+7w+6=0

Answer 1

Hi Berryl;

 

Quadratic equation:

ax² + bx + c = 0

x = [-b ±√(b²-4ac)]/2a

 

4w² + 7w + 6 = 0

a=4, b=7, c=6

 

w = [-7 ±√(7²-4(4)(6))]/(2(4))

 

w = [-7 ±√(49-96)]/8

 

w =(-7 ±√-47)/8

 

w = [-7 ±(√47)i]/8

 

w = (-7 + i√47)/8 or (-7 - i√47)/8

 

As you can see this quadratic has complex roots but that is no problem.

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