Question

find the zeroes of
${x}^{2} + 5x - 6$


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Answer 1

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➠ Find roots of : x² + 5x - 6 = 0

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❏ We can factorize any 2 degree polynomial by using the method of splitting the middle term.

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❏ In this method, we write the middle term i.e coefficient of "x" in such a way by which simplification is made easy.

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❏ We can also use quadratic formula for easy calculations.

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❏ Equation :  x² + 5x - 6 = 0

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Let's Start !

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❖ Here is your answer :)

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☯ Well ! we are going to use quadratic formula to solve it.

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$\star \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \boxed { \bold{ \longmapsto \; x = \frac{-b \pm \sqrt{b^{2} -4ac }}{2a} } }$

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$:\implies x = \dfrac{-(5) \pm \sqrt{(5)^{2} -4(1)(-6)}}{2(1)}$

$:\implies x = \dfrac{-5 \pm \sqrt{25+24}}{2(1)}$

$:\implies x = \dfrac{-5 \pm \sqrt{49}}{2(1)}$

$:\implies x = \dfrac{-5 \pm 7}{2}$

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$\boxed{ \bold {:\implies x = \frac{-12}{2} = -6} }$

$\boxed{ \bold {:\implies x = \frac{2}{2} = 1} }$

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$\boxed{\boxed{\bold{\therefore Roots \; of \; equation \; are \; (-6) \; and \;1}}}$

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Hope this helps u.../

【Brainly Advisor】