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Solving Quadratics (Standard, Factorised & Square Forms)

Solving Quadratics (Standard, Factorised & Square Forms)

Secondary 3

Solve each of the equations, giving your answers correct to \(2\) decimal places.

  1. \(3{{x}^{2}}+5x=6\)
  2. \(2{{x}^{2}}=11x-7\)
  3. \(\left( 4x+1 \right)\left( x+5 \right)=9x-4\)
  4. \(x\left( 2x+3 \right)=5\left( x+1 \right)\)
  5. \({{\left( 1-3x \right)}^{2}}=9-4x\)

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Answer:(i) x = 0.81 or -2.47; (ii) x = 4.77 or 0.73; (iii) x = -1.50; (iv) x = 2.16 or -1.16; (v) x = 1.06 or -0.84.

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