Question

For the quadratic equation x2 +7x+10=0 the value of the square root of the discriminant is

Answer 1

Answer:

X^2 +7x +10 =0

b^2 - 4ac = (7)^2 - 4(1) (10)

= 49 - 40

= 9

Square root of discriminant

Root 9 = 3

So, our final answer is 3

Hope this helps you.

Answer 2

Answer:

The square root of the discriminant = ±3

Step-by-step explanation:

Given quadratic equation is x² +7x+10=0

To find,

The value of the square root of the discriminant of this quadratic equation.

Solution:

Recall the concept.

The discriminant of a quadratic equation ax²+bx+c = 0 is  b²- 4ac, here a,b,c are the coefficients of the variable of the quadratic equation ax²+bx+c = 0

The given equation is  x² +7x+10=0. Comparing the given equation with ax²+bx+c = 0, we get

a = 1 , b = 7, c = 10

The discriminant = b²- 4ac

= 7²- 4×1×10

= 49 - 40

= 9

The discriminant = 9

The square root of the discriminant = $\sqrt{b^2 - 4ac} = \sqrt{9}$ = ±3

∴ The square root of the discriminant = ±3

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