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Solving Equations Involving Squared Expressions

Solving Equations Involving Squared Expressions

Secondary 3

Solve the following equations, giving your answers to 3 significant figures where necessary.

  1. \({{\left( 3x-2 \right)}^{2}}=16\)
  2. \({{\left( 5-x \right)}^{2}}=7\)
  3. \({{\left( \frac{1}{2}x-4 \right)}^{2}}=81\)
  4. \({{(2x+5)}^{2}}=45\)
  5. \({{\left( x-5 \right)}^{2}}=\frac{9}{16}\)
  6. \({{\left( 2x+\frac{3}{2} \right)}^{2}}=\frac{81}{100}\)

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Answer:(i) x = 2 or -2/3; (ii) x = 2.35 or 7.65; (iii) x = 26 or -10; (iv) x = 0.854 or -5.85; (v) x = 23/4 or 17/4; (vi) x = -3/10 or -6/5.

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