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Solve the Following Equation and Give Your Answer Correct to 3 Significant Figure: `5x^2 - 3x - 4 = 0` - Mathematics

Solve the following equation and give your answer correct to 3 significant figure:

`5x^2 - 3x - 4 = 0`

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Solution

Given quadratic equation is `5x^2 - 3x - 4 = 0`

Comparing it with ax2 + bx +c = 0, we get

a = 5, b = -3, c = -4

`:. x = (-b+- sqrt(b^2 - 4ac))/"2a"`

`= (3+-sqrt((-3)^2 - 4 xx 5 xx -4))/(2 xx 5)`

`= (3+-sqrt(9 + 16 xx 5))/10`

`= (3 +-sqrt89)/10`

`= (3 +- 9.433)/10`

`= (3 + 9.433)/10  and (3-9.433)/10`

`= 1.2433 and -0.6433`

= 1.243 and -0.643

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