Question discussion

If 3x + 7 = x2 + M = 7x + 5, what is the value of 120% of M?

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We have,

3x + 7 = 7x + 5.

⇒ 4x = 2

⇒ x = 1/2 = 0.5

We also know,

3x + 7 = x2 + M

⇒ 3 × 0.5 + 7 – (0.5)2 = M

⇒ M = 1.5 + 7 - 0.25 = 8.25

120% of M will be = (120/100) × 8.25 = 9.9