If S = √t2−4t+4 t 2 − 4 t + 4 , find t in terms of S

Assessment: JAMB UTME - Mathematics - 2013 Subject: General Mathematics

Question 1 Report

If S = $\sqrt{t^{2} - 4 t + 4}$ , find t in terms of S

S2 - 2

S + 2

S - 2

S2 + 2

Answer Details

S = $\sqrt{t^{2} - 4 t + 4}$
S2 = t2 - 4t + 4
t2 - 4t + 4 - S2 = 0
Using $t = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$
Substituting, we have;
Using $t = \frac{- (- 4) \pm \sqrt{(- 4)^{2} - 4 (1) (4 - S^{2})}}{2 (1)}$
$t = \frac{4 \pm \sqrt{16 - 4 (4 - S^{2})}}{2}$
$t = \frac{4 \pm \sqrt{16 - 16 + 4 S^{2}}}{2}$
$t = \frac{4 \pm \sqrt{4 S^{2}}}{2}$
$t = \frac{2 (2 \pm S)}{2}$
Hence t = 2 + S or t = 2 - S

Read lesson note on Number Bases (WAEC)

Number Bases

View Answer

Related Questions

Download The App On Google Playstore

Everything you need to excel in JAMB, WAEC & NECO

Personalized AI Learning Chat Assistant

Thousands of JAMB, WAEC & NECO Past Questions

Over 1200 Lesson Notes

Offline Support - Learn Anytime, Anywhere

Green Bridge Timetable

Literature Summaries & Potential Questions

Track Your Performance & Progress

In-depth Explanations for Comprehensive Learning