Solve 8x² − 22x + 15 = 0 using the quadratic formula.

3/2 and 5/4. D = 484 − 480 = 4, so x = 22 ± 2/16, giving 24/16 = 3/2 and 20/16 = 5/4. Check: 8 × 9/4 - 33 + 15 = 0. Dividing by a = 8 instead of 2a = 16 gives the doubled pair 3 and 5/2.

Solve $8 x^{2} - 22 x + 15 = 0$ using the quadratic formula.

Class 10The Quadratic FormulaQuadratic Equations

A $\frac{3}{2}$ and $\frac{5}{4}$
B $\frac{2}{3}$ and $\frac{4}{5}$
C $- \frac{3}{2}$ and $- \frac{5}{4}$
D3 and $\frac{5}{2}$

Step-by-Step Solution

D = 484 - 480 = 4

, so

x = \frac{22 \pm 2}{16}

, giving

\frac{24}{16} = \frac{3}{2}

and

\frac{20}{16} = \frac{5}{4}

. Check:

8 \times \frac{9}{4} - 33 + 15 = 0

. Dividing by

a = 8

instead of

2 a = 16

gives the doubled pair 3 and

\frac{5}{2}

Answer: A)

\frac{3}{2}

and

\frac{5}{4}

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Solve 8x2−22x+15=0 using the quadratic formula.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 The Quadratic Formula practice

Solve $8 x^{2} - 22 x + 15 = 0$ using the quadratic formula.