Math, asked by misty2356, 9 months ago

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Answered by shambhavi12102005121
0

Answer:

Factoring t2-2t-9

The first term is, t2 its coefficient is 1 .

The middle term is, -2t its coefficient is -2 .

The last term, "the constant", is -9

Step-1 : Multiply the coefficient of the first term by the constant 1 • -9 = -9

Step-2 : Find two factors of -9 whose sum equals the coefficient of the middle term, which is -2 .

9 + 1 = -8

-3 + 3 = 0

-1 + 9 = 8

is it ok ????

Answered by BRAINLYADDICTOR
29

★FIND:

The value of 't'

★GIVEN:

\bold{t^2-2t+9=0}

★SOLUTION:

\bold{t^2-2t+9=0}

\bold{where,}

\bold{a=1} ,\bold{b=-2,} \bold{c=9}

t =  \frac{ - b +  -  \sqrt{b {}^{2} - 4ac } }{2a}

 =  \frac{ - ( - 2) +  -  \sqrt{4 - 4(1)(9)} }{2(1)}  \\  =  \frac{2 +  -  \sqrt{4 - 36} }{2}  \\  =  \frac{2 +  -  \sqrt{32} }{2}  \\  =  \frac{2 +  -  \sqrt{16 \times 2} }{2}  \\  =  \frac{2 +  - 4 \sqrt{2} }{2}  \\  =1 +  - 2 \sqrt{2}  \\ t = 1 + 2 \sqrt{2}  \: or \: t = 1 - 2 \sqrt{2}

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