Respuesta :
Answer:
The values of x for the equation 5x² - 9x - 10 is x = 9 ± √(281) / 10.
Step-by-step explanation:
In this question we need to solve the given equation that is 5x² - 9x - 10 to obtain the value of x using the complex solution method.
Now, the given equation is 5x² - 9x - 10 in which we need to apply the quadratic formula to find the solution;
So, the quadratic formula is => -b ± √(b² - 4ac) / 2a
Now, on comparing the equation 5x² - 9x - 10 we get the values;
a = 5
b = -9
c = -10
Further, on substituting the values given above in the quadratic formula to obtain the value of x.
=> -(-9) ± √((-9)² - 4(5×(-10)) / 2×5
=> 9 ± √(81 +200) / 10
=> 9 ± √(281) / 10
After simplifying the above equation we obtained the value of x that is;
=> x = 9 ± √(281) / 10
Now, the final values of x from the above condition are;
=> x = 9 + √(281) / 10
and
=> x = 9 - √(281) / 10
It can be further represented in the decimal form;
=> x = 2.57630546...
and
=> x = −0.77630546...
Thus, the values of x for the equation 5x² - 9x - 10 is x = 9 ± √(281) / 10.
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