One number is 9 less than the other. Find the two numbers if their product is 736.
Answer (2)
x − f i rs t n u mb er x − 9 − seco n d n u mb er x ( x − 9 ) = 736 x 2 − 9 x − 736 = 0 Δ = b 2 − 4 a c Δ = ( − 9 ) 2 − 4 ⋅ ( − 736 ) ⋅ 1 = 81 + 2944 = 3025 Δ = 55 x 1 = 2 a − b − Δ x 1 = 2 ∗ 1 9 − 55 = 2 − 46 = − 23 or x 2 = 2 a − b + Δ x 2 = 2 ∗ 1 9 + 55 = 2 64 = 32 x 1 i s n e g a t i v e n u mb er so i t c a n ′ t b e o n e o f t h e m 32 − 9 = 23 S e a rc h e d n u mb er a re 32 an d 23
The two numbers are 32 and 23, where one number is 9 less than the other and their product equals 736.
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