I. p² - 10p +21 = 0 II. q² + q -12 = 0

Q: I. p² - 10p +21 = 0 II. q² + q -12 = 0

I. p² - 10p +21 = 0 p² - 3p – 7p +21 = 0 ⟹ p (p - 3) – 7 (p - 3) = 0 ⟹ (p-7)(p-3)= 0 ⟹ p= 3, 7 II. q²+q -12 = 0 ⟹ q² + 4q – 3q -12 =0 ⟹ q(q + 4) -3(q + 4)= 0 ⟹ q = -4, 3 &there4; p≥q

Question

I. p&sup2; - 10p +21 = 0 II. q&sup2; + q -12 = 0

Accepted Answer

I. p&sup2; - 10p +21 = 0 p&sup2; - 3p &ndash; 7p +21 = 0 ⟹ p (p - 3) &ndash; 7 (p - 3) = 0  ⟹ (p-7)(p-3)= 0 ⟹ p= 3, 7 II. q&sup2;+q -12 = 0 ⟹ q&sup2; + 4q &ndash; 3q -12 =0 ⟹ q(q + 4) -3(q + 4)= 0 ⟹ q = -4, 3 &there4; p&ge;q

Question

I. p² - 10p +21 = 0

II. q² + q -12 = 0

Solution

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