A complex point of the form a + 3i has a distance of 29 units from –9 + 24i. What is the value of a?

a = 11 or a = -29

Step-by-step explanation:

A: a+3i        B: -9+24i      AB = 29

AB² = (a - -9)² + (3 - 24)² = (a + 9)² + (-21)²

AB² = a² + 18a + 81 + 441 = 29² = 841

a² + 18a -319 = 0

a = (-18 ± √18²-4*1*(-319)) / 2 = (-18 ± √1600) / 2 = (-18 ± 40)/2

a = 11 or a = -29

answer: t=3

step-by-step explanation:

i need a picture

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