Complete the following activity to solve the quadratic equation x²-10x-24=0 using formula method
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x=6,x=4
Step-by-step explanation:
use quadratic formula
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The two solutions for x²-10x-24=0 are x = 3 and x = 17.
To solve the quadratic equation x² - 10x - 24 = 0 using the formula method, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
where a, b and c are the coefficients of the quadratic equation.
In this case,
a = 1
b = -10
c = -24
so,
x = (-(-10) ± √((-10)² - 4(1)(-24))) / 2(1)
x = 10 ± √(100 + 96) / 2
x = 10 ± √196 / 2
x = 10 ± √196 / 2
x = 10 ± 14 / 2
x = 10 ± 7
Therefore, the solutions for the equation are x = 10 + 7 = 17 and x = 10 - 7 = 3.
So, the two solutions for x²-10x-24=0 are x = 3 and x = 17.
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