### Math Notes

Subjects

#### High School Mathematics Solutions

##### Topics || Problems

Find the range of value of b if $$2x^2 +bx +8 = 0$$ has no real roots. Express your answer in interval.

Solution:

• No real roots; the discriminant is less than zero.

• $$b^2 -4ac < 0$$

• $$b^2 - 4(2)(8)$$< 0

• b < 8

• b > -8
• Values of b: [-8, 8]