Question

Check whether x is equals to minus 3 is the root of the euadratic equation x2+4=13

Answer 1

☆ CORRECT QUESTION :

Check whether x is equal to minus 3 is the root of the quadratic equation x^2 + 14 = 13.

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\therefore{\text{x=3\:and\:-3}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given : }} \\ \implies {x}^{2} + 4 = 13 \\ \\ \red{\underline \bold{To \:Find: }} \\ \implies x = ?$

• In the given question information given about a quadratic equation and given that check whether the value of x is -3 or not.

• So, At first solve the quadratic equation and find the possible values of x.

• It is a quadratic equation so x has two values.

• According to given question :

$\implies {x}^{2} + 4 = 13 \\ \\ \implies {x}^{2} + 4 - 13 = 0 \\ \\ \implies {x}^{2} - 9 = 0 \\ \\ \implies {x}^{2} - {3}^{2} = 0 \\ \\ \text{As \: we \: know \: that} \\ \bold{{a}^{2} - {b}^{2} = (a + b)(a - b)} \\ \\ \implies (x + 3)(x - 3) = 0 \\ \\ \green{\implies \text{x = 3 \: and \: - 3}}$