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goldenfox [79]
3 years ago
14

Solve the equation 6w2 – 7w – 20 = 0.

Mathematics
1 answer:
Irina-Kira [14]3 years ago
4 0

Answer:

\large\boxed{B.\ w=-\dfrac{4}{3},\ w=\dfrac{5}{2}}

Step-by-step explanation:

6w^2-7w-20=0\\\\6w^2-15w+8w-20=0\\\\3w(2w-5)+4(2w-5)=0\\\\(2w-5)(3w+4)=0\iff2w-5=0\ \vee\ 3w+4=0\\\\2w-5=0\qquad\text{add 5 to both sides}\\2w=5\qquad\text{divide both sides by 2}\\\boxed{w=\dfrac{5}{2}}\\\\3w+4=0\qquad\text{subtract 4 from both sides}\\3w=-4\qquad\text{divide both sides by 3}\\\boxed{w=-\dfrac{4}{3}}

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