It is a square trinomial:
4v^2 - 16v + 7 = 0
lets multiply and divide all by 4, the square term coefficient:
(16v^2 - 16(4)v + 28)(1/4) = 0
(4v - 14)(4v - 2)<span>(1/4) = 0
</span>factor 1/4
(4v - 14)(4v - 2)(1/2)<span>(1/2)</span> = 0
and divide each:
(2v - 7)(2v - 1) = 0
Assuming that the two investments are X & Y
X + Y = 6300
X = 6300 - Y (1)
9/100X + 4/100 Y = 372 (2)
replacing X from (1) into (2)
9/100(6300-Y) + 4/100 Y = 372
567 - 9/100Y +4/100Y = 372
(-9+4)/100Y = 372 - 567
5/100Y = -195
Y = 100*195/5 = 3900
From (1) we can get X
X = 6300 - 3900 = 2400
I hope this is helpful
Whoever sees this have a great day ❤️