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Margarita [4]
3 years ago
11

2x^2+3x=(2x-1)(x+1) Pls do explain

Mathematics
2 answers:
Serggg [28]3 years ago
5 0
<h3><u>Answer:</u></h3>

<u />x=-\frac{1}{2}

<h3><u>Step-by-step explanation:</u></h3>

You could solve this problem by either: Factoring or by using the Quadratic Formula.

SOLVING BY FACTORING STEPS

<em>STEP 1:</em><em> Move (2x−1)(x+1) to the left side of the equation by subtracting it from both sides.</em>

<em />2x^2+3x-(2x-1)(x+1)=0

<em>STEP 2:</em><em> Simplify 2x^2+3x−(2x−1)(x+1).</em>

<em />2x+1=0

<em>STEP 3: </em><em>Simplify each term.</em>

<em />2x^2+3x-2x^2-x+1=0

<em>STEP 4: </em><em>Simplify by adding terms.</em>

<em />2x+1=0

<em>STEP 5:</em><em> Subtract 1 from both sides of the equation.</em>

<em />2x=-1

<em>STEP 6: </em><em>Divide each term by 2 and simplify.</em>

<em />x=-\frac{1}{2}

SOLVE BY USING THE QUADRATIC FORMULA STEPS

<em>STEP 1: </em><em>Move all terms to the left side of the equation and simplify.</em>

<em />2x+1=0<em />

<em>STEP 2: </em><em>Subtract 1 from both sides of the equation.</em>

<em />2x=-1<em />

<em>STEP 3: </em><em>Divide each term by 2 and simplify.</em>

<u />x=-\frac{1}{2}

Anon25 [30]3 years ago
4 0
X= -1/2 hope this helps hehe :)
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<h3><u>Solution:</u></h3>

Given that, Joshua traveled 5 hours from City A to City B

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First he traveled at the constant speed of 40 mi/h, and then at the constant speed of 60 mi/h.  

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\text { distance }=\text { speed } \times \text { time. }

\begin{array}{l}{40 \mathrm{mil} / \mathrm{h} \times \mathrm{n} \text { hours }= x \text { miles }} \\\\ {\rightarrow x=40 \mathrm{n} \rightarrow(1)} \\\\ {\text { And } 60 \times(5-\mathrm{n})=260-x \text { miles }}\end{array}

\begin{array}{l}{\rightarrow 300-60 n=260-40 n(\text { from }(1))} \\\\ {\rightarrow 60 n-40 n=300-260} \\\\ {\rightarrow 20 n=40} \\\\ {\rightarrow n=2}\end{array}

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