Question

Solve by using formula:- x = -b ± √b²-4ac/ 2a complete solution m^2-3m-10=0

Answer 1

AnswEr:-

❀ Your Answer Is 5 and -2.

ExplanaTion:-

Given Polynomial:-

$\\ \tt\longrightarrow {m}^{2} - 3m - 10 = 0.$

To Find:-

• The values of m by using quadratic formula.

$\\ \tt i.e. \\ \\ \tt\longrightarrow x = \frac{ -b \pm \sqrt{ {b}^{2} } - 4ac }{2a} .$

Where,

• a = Coefficient of x².

• b = Coefficient of x.

• c = Constant term.

• x = Veriable of the polynomial.

So Here,

• a = 1.

• b = -3.

• c = -10.

• x = m.

By putting the values in above formula we get:-

$\\ \tt\mapsto x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} . \\ \\ \tt\mapsto m = \frac{ - ( - 3) \pm \sqrt{ { (- 3)}^{2} - 4(1)( - 10) } }{2(1)}. \\ \\ \tt\mapsto m = \frac{3 \pm \sqrt{9 - ( - 40)} }{2}. \\ \\ \tt\mapsto m = \frac{3 \pm \sqrt{9 + 40} }{2} . \\ \\ \tt\mapsto m = \frac{3 \pm \sqrt{49} }{2} . \\ \\ \tt\mapsto m = \frac{3 \pm7}{2} . \\ \\ \tt\mapsto m = \frac{3 + 7}{2} \: \: \: \: or \: \: \: \: m = \frac{3 - 7}{2} . \\ \\ \tt\mapsto m = \cancel \frac{10}{2} \: \: \: \: or \: \: \: \: m = - \cancel\frac{4}{2}. \\ \\ \tt\mapsto{ \underline{ \underline{ m = 5 \: \: \: \: or \: \: \: \: m = - 2.}}}$

❝$\bf\therefore$ The Required Values Of m are 5 and -2.❞

Answer 2

Answer:

Here is the

Answer of

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