Question

find the roots of the equation x2+7x+=10​

Answer 1

Answer:

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Step-by-step explanation:

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

Answer 2

Answer:

${x}^{2} + 7x = 10 \\ \implies {x}^{2} + 7x - 10 = 0 \\ \implies{x}^{2} + 5x + 2x - 10 = 0 \\ \implies \: x(x + 5) - 2(x + 5) = 0 \\ \implies(x + 5)(x - 2) = 0 \\ \therefore x=-5,2$