Question

d) 3.2 + x - 1.2² = 0

Explanation:

Step1: Identify the equation

The equation is \(3.2x - 1.2^{2}=0\) (assuming the original handwritten equation is \(3.2x - 1.2^{2}=0\) after correcting the orientation and reading the characters properly). First, calculate \(1.2^{2}\).
\(1.2^{2}=1.2\times1.2 = 1.44\)

Step2: Solve for x

The equation becomes \(3.2x-1.44 = 0\). Add \(1.44\) to both sides:
\(3.2x=1.44\)
Then divide both sides by \(3.2\):
\(x=\frac{1.44}{3.2}\)
Simplify the fraction. Multiply numerator and denominator by \(100\) to get rid of decimals: \(\frac{144}{320}\). Divide numerator and denominator by \(16\): \(\frac{144\div16}{320\div16}=\frac{9}{20}= 0.45\)

Answer:

\(x = 0.45\)