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3 years ago

8

Find the solutions to the equation below. Check all that apply. 30x^2-26x+4=0

1 answer:

Lana71 [14]3 years ago

6 0

Answer:

<h2>B. x = 1/5</h2><h2>F. x = 2/3</h2>

Step-by-step explanation:

$30x^2-26x+4=0\\\\30x^2-20x-6x+4=0\\\\10x(3x-2)-2(3x-2)=0\\\\(3x-2)(10x-2)=0\iff3x-2=0\ \vee\ 10x-2=0\\\\3x-2=0\qquad\text{add 2 to both sides}\\\\3x=2\qquad\text{divide both sides by 3}\\\\x=\dfrac{2}{3}\\\\10x-2=0\qquad\text{add 2 to both sides}\\\\10x=2\qquad\text{divide both sides by 10}\\\\x=\dfrac{2:2}{10:2}\\\\x=\dfrac{1}{5}$

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