Question

Find the roots of the quadratic equation:

7x²-18x+11=0​

Answer 1

Answer:

7 and 11 are the root of the quadratic equation

Answer 2

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆ GIVEN⠀ POLYNOMIAL  – 7x² - 18x  + 11 :

⠀⠀⠀⠀

$:\implies\sf 7x^2 -18x + 11 = 0 \\\\\\\star \sf{By \:Using\:Sum-Product \:Pattern\::}\\\\ \:\implies\sf 7x^2 - 7x - 11x + 11= 0 \\\\\\\star\sf{Finding\:out\:Common\:Terms\::}\\\\\\:\implies\sf 7x(x - 1) -11(x - 1) = 0\\\\\\\star\sf{Now,\:Rewrite\:in\:Factored\:term\::}\\\\\\:\implies\sf (7x - 11)\; (x - 1) = 0\\\\\\:\implies{\underline{\boxed{\frak{\purple{x\:\:= \; \; 1\:\: \:or\:\:\:\dfrac{11}{7}}}}}}\;\bigstar$

Therefore,

⠀⠀⠀⠀⠀$\therefore {\underline{ \mathrm { Hence, \:The\:roots \:are\:\bf{1 \:and \:\dfrac{11}{7}\: }}}}$

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