13- For what values of K, the q + 6x +10 has real roots.
ladder 15m long just reaches the top of a vertical wall. If the ladder makes a
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Appropriate Question :-
For what values of K, the kx² + 6x + 10 has real roots.
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To Find :-
Value of k
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By The Form of :-
ax² + bx + c = 0
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So Here..,
a = k , b = 6 , c = 10
ᐃ = b² - 4ac
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Since The Rules Are Equal..,
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Discriminant = b² - 4ac = 0.
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∴ b² - 4ac = 0
∴ 6² - 4 × k × 10 = 0
∴ 36 - 40k = 0
∴ - 40k - 36 = 0
∴ k = ( - 40 ) ÷ ( - 36 )
∴ k = 10/9
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