Question

Find the roots of the equation x²+7x+10=0​

Answer 1

Answer:

x

2

+7x+10=0

x=

2(1)

−7±

(7)

2

−(4)(1)(10)

x=

2

−7±

49−40

x=

2

−7±

9

x=

2

−7±3

x=

2

−7+3

and x=

2

−7−3

So, the answer comes out to be, x=−2 and x=−5

Step-by-step explanation:

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Answer 2

Answer:

${x}^{2} + 7x + 10 = 0 \\ \\ = > {x}^{2} + 5x + 2x + 10 = 0 \\ \\ = > x(x + 5) + 2(x + 5) = 0 \\ \\ = > (x + 2) \times (x + 5) = 0 \\ \\ = > x = - 2 \: \: \: \: or \: \: \: x = - 5$