Question

60x^2 - 70x - 30 please tell this problem

Answer 1

Pls refer to the answer given below.

Answer 2

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☆ ANSWER:-

▪︎ Given:-

$\tt\leadsto60 {x}^{2} - 70x - 30.$

▪︎ To Find:-

• The zeroes of given polynomial.

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▪︎ So,

• Lets divide the whole equation by 10 to make the calculation easy also to find the zeroes the given polynomial should be = 0.

$\sf \mapsto \frac{6\cancel{0 }{x}^{2} - 7\cancel0x - 3\cancel0 = 0}{1\cancel0} \\ \\ \sf \mapsto6 {x}^{2} - 7x - 3 = 0$

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▪︎ Now,

• By factorization method lets first multiply 6 and 3 then find the factors of the result.

$\tt\leadsto6 \times 3 = 18 \\ \\ \sf \: and \\ \\\tt\leadsto 18= 2 \times 3 \times 3 \\ \\ \sf \: also \\ \\ \tt\leadsto(3 \times 3) - 2 \\ =\tt 9 - 2 \\ = \tt 7 = middle \: term$

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▪︎ Therefore By splitting middle term,

$\sf \mapsto6{x}^{2} - (9 - 2)x - 3 = 0 \\ \\ \sf \mapsto6 {x}^{2} - 9x + 2x - 3 = 0 \\ \\ \sf \mapsto3x(2x - 3) + 1(2x - 3) = 0 \\ \\ \sf \mapsto(3x + 1)(2x - 3) = 0 \\ \\ \sf \mapsto3x + 1 = 0 \: \: \: \: or \: \: \: \: 2x - 3 = 0 \\ \\ \sf \small \red{\fbox{\mapsto \: x = \frac{ - 1}{3} \: \: \: \: or \: \: \: \: x = \frac{3}{2} }}$

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${\small{\pink{\underline{\underline{\purple{\mathbb{\bold{\mathcal{\therefore{The\:req.\:Values\:of\:x\:is\:-1/3\:And\:3/2}}}}}}}}}}$

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