Math, asked by harsh9731, 7 months ago

25x²+20x-7=0
solve it.​

Answers

Answered by jaychandra1234567890
0

Answer:

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Step-by-step explanation:

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Answered by Prakashroy
1

To find the nature of the roots, find

b^{2} - 4ac. If b^{2} - 4ac is less than zero, then it will not have real roots instead it will have imaginary roots or complex roots.

If it is equal to zero, then the roots will be real and equal.

If it is greater than zero, then the roots will be distinct and real.

So, here, b^{2} - 4ac = 20^{2} - 4 × 25 × (-7)

b^{2} - 4ac = 400 + 700 > 0

So, the given equation has 2 real and distinct solutions or roots.

The roots are given by the equation,

x = (-b ± \sqrt{b^{2} - 4ac } ) ÷ 2a

where, a is the coefficient of x^{2}, b is the coefficient of x and c is the constant.

Here,

x = ( - 20 ± \sqrt{20^{2} - 4* 25* (-7)} ) ÷ 2 * 25

SOLVING,

x = 0.321 or x = -1.121

[THANK YOU]

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