Question

$x { }^{2} - 3x - 10 = 0$
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Answer 1

Answer:

Class 10th,

Chapter 4,

Quadratic equations

Step-by-step explanation:

Check the attachment for your answer

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Answer 2

$\huge\tt{\bold{\underline{\underline{Question᎓}}}}$

$x { }^{2} - 3x - 10 = 0$

$\huge\tt{\bold{\underline{\underline{Answer᎓}}}}$

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$= > {x}^{2} - 3x - 10 = 0$

=>It is in the form of a quadratic equation so we simply factorise it :

${ax}^{2} +bx+c = 0$

=>Here, we use middle term splitting method to split the equation and hence find roots.

=>Multiply the constant with coefficient of x^2...(1) and think a number whose sum makes the middle term and when we multiply it makes the equation...(1).

$= > {x}^{2} - 5x + 2x + 10 = 0$

$= > x(x - 5) - 2(x - 5) = 0$

$= > (x - 2)(x - 5) = 0$

$= > x - 2 = 0$

$\bold{ = > x = 2}$

$= > x - 5 = 0$

$\bold{= > x = 5}$

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