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2 votes
2 votes
Select the two values of x that are roots of this equation

2x - 3 = -5x^2

A. x = 3/5
B. x = - 1
C. x = 5/3
D. x = - 2/3

User Lolajl
by
2.0k points

1 Answer

14 votes
14 votes

Answer:


\sf 2x - 3 = -5x^2

move terms to one side:


\sf 2x - 3 = -5x^2=0

Split second term in 2x-3+5x^2 into two terms:


\sf 5x^2+5x-3x-3=0

factor out common terms in first terms, then last terms


\sf 5x(x+1)-3(x+1)=0

Factor out common term: x+1


(x+1)(5x-3)=0

solve for x


\sf x+1=0


  • \sf x+1-1=0-1

  • \boxed{\sf x=-1}


\sf 5x-3=0


  • \sf 5x-3+3=0+3

  • \sf 5x=3

  • \sf \cfrac{5x}{5}=\cfrac{3}{5}

  • \boxed{\sf x=(3)/(5)}


\boxed{\sf Answer: x=-1,\:x=(3)/(5)}

User TruLa
by
3.1k points
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