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frosja888 [35]
3 years ago
11

9x^2 + 24x + 20 = 4 Solve this by factoring. Thank you!

Mathematics
2 answers:
boyakko [2]3 years ago
3 0

Note that,

9x^2+24x+20=4\Longrightarrow9x^2+24x+16

Which factors to,

(3x+4)^2=0\Longrightarrow3x+4=0

And simplifies to <u>solution C</u>,

\boxed{x=-\dfrac{4}{3}}

Hope this helps.

Any additional questions please feel free to ask.

r3t40

rosijanka [135]3 years ago
3 0

Answer:

\large\boxed{C.\ x=-\dfrac{4}{3}}

Step-by-step explanation:

9x^2+24x+20=4\qquad\text{subtract 4 from both sides}\\\\9x^2+12x+12x+16=0\\\\3x(3x+4)+4(3x+4)=0\\\\(3x+4)(3x+4)=0\\\\(3x+4)^2=0\iff3x+4=0\qquad\text{subtract 4 from both sides}\\\\3x=-4\qquad\text{divide both sides by 3}\\\\x=-\dfrac{4}{3}

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