The given equation is a quadratic equation of the form ax^2 + bx + c = 0. The general solution for such an equation is given by the quadratic formula: x = [-b ± sqrt(b^2 - 4ac)] / (2a).

Here, a = 2, b = 9, and c = 8.

Step 1: Calculate the value under the square root in the quadratic formula, which is b^2 - 4ac.
= (9)^2 - 4*2*8
= 81 - 64
= 17

Step 2: Calculate the values of x using the quadratic formula.
x = [-9 ± sqrt(17)] / (2*2)

So, the solutions are:
x1 = [-9 + sqrt(17)] / 4
x2 = [-9 - sqrt(17)] / 4

To the nearest tenth, these are approximately:
x1 = -1.6
x2 = -2.5

Question

The given equation is a quadratic equation of the form ax^2 + bx + c = 0. The general solution for such an equation is given by the quadratic formula: x = [-b ± sqrt(b^2 - 4ac)] / (2a).

Here, a = 2, b = 9, and c = 8.

Step 1: Calculate the value under the square root in the quadratic formula, which is b^2 - 4ac. 
= (9)^2 - 4*2*8 
= 81 - 64 
= 17

Step 2: Calculate the values of x using the quadratic formula.
x = [-9 ± sqrt(17)] / (2*2)

So, the solutions are:
x1 = [-9 + sqrt(17)] / 4
x2 = [-9 - sqrt(17)] / 4

To the nearest tenth, these are approximately:
x1 = -1.6
x2 = -2.5

Knowee AI · Accepted Answer

The given equation is a quadratic equation of the form ax^2 + bx + c = 0. The general solution for such an equation is given by the quadratic formula: x = [-b ± sqrt(b^2 - 4ac)] / (2a).

Here, a = 2, b = 9, and c = 8.

Step 1: Calculate the value under the square root in the quadratic formula, which is b^2 - 4ac. 
= (9)^2 - 4*2*8 
= 81 - 64 
= 17

Step 2: Calculate the values of x using the quadratic formula.
x = [-9 ± sqrt(17)] / (2*2)

So, the solutions are:
x1 = [-9 + sqrt(17)] / 4
x2 = [-9 - sqrt(17)] / 4

To the nearest tenth, these are approximately:
x1 = -1.6
x2 = -2.5

Solve the equation 2, x, squared, plus, 9, x, plus, 8, equals, 02x 2 +9x+8=0 to the nearest tenth.

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