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Find the value of a for which the solutions of a(6x-9) <9(2x-1)-10 are all real numbers.

a =

User Parapluie
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1 Answer

3 votes
1 Find discriminant
Based on the numbers of roots, the discriminant: Click for video explanations
(-18 + 6a)2 > 0


2 Solve the inequality
(-18 + 6a)power of 2> O

Factorize

(6(-3+ a))to the power of 2 > 0
Simplify the expression

62 × (-3+ a)to the power of 2 > 0
Transform the inequality

1 > 0
Verify the solution set

infinitely many solutions

(-3+ a)2 = 0
Solve the equation

a = 3
Find the union
infinitely many solutions


Answer is

infinitely many solutions
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User The Busy Wizard
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