The value of 'afor which the equation
ax2 - 2 root 5x + 4 = 0 has equal roots, is
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Answer:
a = 5/4
Step-by-step explanation:
ax² - 2√5x + 4 = 0
For any quadratic equation to have equal roots the value of its discriminant should be zero.
D = b² - 4ac
In the above equation,
a = a
b = -2√5
c = 4
D = (-2√5)² - 4(a)(4)
0 = 20 - 16a
20 = 16a
a = 20/16
a = 5/4
Hope it helps you....
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