Question

find the roots of x^2+3x-10=0​

Answer 1

Question :-

Find the roots of x² + 3x -10 = 0

Answer :-

→ 2 and -5

Solution :-

We have a quadratic equation ,

→ x² + 3x -10 =0

Splitting the middle term

→ x² + 5x - 2x - 10 = 0

→ x(x + 5) -2(x + 5) = 0

→ (x + 5)(x - 2) = 0

• Case (1) if

→ x + 5 = 0

→ x = - 5

• Case (2) if -

→ x - 2 = 0

→ x = 2

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Some questions for practice :-

$\boxed{\begin{minipage}{6 cm}</p><p></p><p>\star \sf Find \: the \: roots \: of \: the \: following \\ \\\sf Quadratic \: equations .\\ \\ </p><p></p><p>(1) x^{2} + 5x + 6 = 0 \\ \\</p><p></p><p>(2) 2x^{2} - 4x -6 = 0 \\ \\ </p><p></p><p>(3) 3x^{2} + 8x + 15 = 0 </p><p></p><p></p><p>\end{minipage}}$