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3 years ago

9

What are the possible values of x in 32x + 20 = 28x − 16x2?

2 answers:

ladessa [460]3 years ago

5 0

4x2+x+5=0
(2x+1/4)^2=-79/16
2x+1/4=(√79/4) i or 2x+1/4=-(√79/4) i
x=(√79/8) i -1/8 or -(√79/8) i -1/8

wel3 years ago

4 0

<span><span><span>2x</span>+20</span>=<span><span>−<span>16<span>x2</span></span></span>+<span>28x</span></span></span>Step 2: Subtract -16x^2+28x from both sides.<span><span><span><span>2x</span>+20</span>−<span>(<span><span>−<span>16<span>x2</span></span></span>+<span>28x</span></span>)</span></span>=<span><span><span>−<span>16<span>x2</span></span></span>+<span>28x</span></span>−<span>(<span><span>−<span>16<span>x2</span></span></span>+<span>28x</span></span>)</span></span></span><span><span><span><span>16<span>x2</span></span>−<span>26x</span></span>+20</span>=0</span>Step 3: Use quadratic formula with a=16, b=-26, c=20.<span>x=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a</span></span></span><span>x=<span><span><span>−<span>(<span>−26</span>)</span></span>±<span>√<span><span><span>(<span>−26</span>)</span>2</span>−<span><span>4<span>(16)</span></span><span>(20)</span></span></span></span></span><span>2<span>(16)</span></span></span></span><span>x=<span><span>26±<span>√<span>−604</span></span></span><span>32</span></span></span>

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nikitadnepr [17]

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Step-by-step explanation:

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