If the quadratic function 3x2 - 7x + R is a perfect square, find R

Assessment: JAMB UTME - Mathematics - 1985 Subject: General Mathematics

Question 1 Report

\frac{49}{24}

\frac{49}{12}

\frac{49}{13}

\frac{49}{3}

\frac{49}{36}

Answer Details

3x2 - 7x + R. Computing the square, we have
x2 - $\frac{7}{3}$ = - $\frac{R}{3}$
( $\frac{x}{1} - \frac{7}{6}$ )2 = - $\frac{R}{3}$ + $\frac{49}{36}$
$\frac{- R}{3}$ + $\frac{49}{36}$ = 0
R = $\frac{49}{36}$ x $\frac{3}{1}$
= $\frac{49}{12}$

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Fractions, Decimals, Approximations And Percentage

Quadratic Equations

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