Question

Solve for x 14 x square+7x-6

Answer 1

x=0.950 or -0.450

Explanation:

14x^2+7x-6

using quadratic formula

x=-b+√b^2 -4ac/2a or x= -b-√b^2-4ac/2a

where b;7 ,a;14, c;-6

x=-7+√7^2-4(14)(-6)/2(14)

x=7+√49+336/28 or 7-√49+336/28

x=7+√385 /28 or 7-√385/28

x=7+19.621 /28 or 7-19.621 /28

x=26.621/28 or -12.621/28

x=0.950 or -0.450

Answer 2

x=0.450765 or x=−0.950765

Explanation:

14x² + 7x - 6

→ Find the product, sum and factors

Product = -6

Sum = 7

Factors = No factors

→ Since there are no factors utilise the quadratic formula

`\frac{-b+-\sqrt{b^(2)-4ac } }{2a}`

→ List the values of a, b and c

a = 14

b = 7

c= -6

→ Substitute into the formula

`\frac{-7+-\sqrt{7^(2)-4*14*-6} }{2*14}`

→ Simplify

x=0.450765 or x=−0.950765