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maryjones
 2 years ago
Calculate the discriminant of 5x^2+10x15=0 and then describe the type of solution you will get?
maryjones
 2 years ago
Calculate the discriminant of 5x^2+10x15=0 and then describe the type of solution you will get?

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tejadab268
 2 years ago
Best ResponseYou've already chosen the best response.0^? 5x^(2)+10x15=0 Factor out the GCF of 5 from each term in the polynomial. 5(x^(2))+5(2x)+5(3)=0 Factor out the GCF of 5 from 5x^(2)+10x15. 5(x^(2)+2x3)=0 In this problem 3*1=3 and 31=2, so insert 3 as the right hand term of one factor and 1 as the righthand term of the other factor. 5(x+3)(x1)=0 Divide both sides of the equation by 5. Dividing 0 by any nonzero number is 0. (x+3)(x1)=0 Set each of the factors of the lefthand side of the equation equal to 0. x+3=0_x1=0 Since 3 does not contain the variable to solve for, move it to the righthand side of the equation by subtracting 3 from both sides. x=3_x1=0 Set each of the factors of the lefthand side of the equation equal to 0. x=3_x1=0 Since 1 does not contain the variable to solve for, move it to the righthand side of the equation by adding 1 to both sides. x=3_x=1 The complete solution is the set of the individual solutions. x=3,1
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