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Solve $4 x + 3 = x^{2}$ using the quadratic formula.

Class 10The Quadratic FormulaAlgebra — Quadratics

A $- 2 \pm 7$
B $2 \pm 7$
C $4 \pm 7$
D $2 \pm 28$

Step-by-Step Solution

Rearrange to

x^{2} - 4 x - 3 = 0

, so

b = - 4

and

- b = + 4. D = 16 + 12 = 28. x = \frac{4 \pm 2 7}{2} = 2 \pm 7

.

Answer: B)

2 \pm 7

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