Question

Chet Factorise
x2+2x+10​

Answer 1

(x-2)(x-5)

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Answer 2

Answer

x = - 1 + 3i and - 1 - 3i

Solution

${x}^{2} + 2x + 10$

This expression is not factorable

We can solve using quadratic formula

$x = \frac{ -b ± \sqrt{ {b}^{2} - 4ac } }{2a}$

Standard form is

$a {x}^{2} + bx + c$

So,

$x = \frac{ -2 ± \sqrt{ {2}^{2} - 4 \times 1 \times 10 } }{2 \times 1} \\ \\ = \frac{ -2 ± \sqrt{ 4 - 40 } }{2} \\ \\ = \frac{ -2 ± \sqrt{ - 36 } }{2} \\ \\ = \frac{ -2 ± \sqrt{36 \times - 1 }}{2} \\ \\ = \frac{ -2 ± 6\sqrt{ - 1 }}{2} \\ \\ = \frac{2( - 1±3 \sqrt{ - 1}) }{2} \\ \\ = - 1±3 \sqrt{ - 1} \\ \\ = - 1±3i$